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Finding the Third Proportional to 14,949 and 23,145.75

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Solution

The third proportional to 14,949 and 23,145.75 is: 35,836.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,949 : 23,145.75 = 23,145.75 : x
  2. Step 2: Convert to fraction form
    14,949/23,145.75 = 23,145.75/x
  3. Step 3: Cross multiply
    14,949x = 23,145.75 × 23,145.75
  4. Step 4: Simplify right side
    14,949x = 535,725,743.06
  5. Step 5: Solve for x
    x = 535,725,743.06/14,949
  6. Step 6: Final answer
    x = 35,836.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.