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Finding the Third Proportional to 23,037.75 and 33,706.13

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Solution

The third proportional to 23,037.75 and 33,706.13 is: 49,314.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,037.75 : 33,706.13 = 33,706.13 : x
  2. Step 2: Convert to fraction form
    23,037.75/33,706.13 = 33,706.13/x
  3. Step 3: Cross multiply
    23,037.75x = 33,706.13 × 33,706.13
  4. Step 4: Simplify right side
    23,037.75x = 1,136,102,862.52
  5. Step 5: Solve for x
    x = 1,136,102,862.52/23,037.75
  6. Step 6: Final answer
    x = 49,314.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.