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Finding the Third Proportional to 11,537.50 and 25,210.75

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Solution

The third proportional to 11,537.50 and 25,210.75 is: 55,088.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,537.50 : 25,210.75 = 25,210.75 : x
  2. Step 2: Convert to fraction form
    11,537.50/25,210.75 = 25,210.75/x
  3. Step 3: Cross multiply
    11,537.50x = 25,210.75 × 25,210.75
  4. Step 4: Simplify right side
    11,537.50x = 635,581,915.56
  5. Step 5: Solve for x
    x = 635,581,915.56/11,537.50
  6. Step 6: Final answer
    x = 55,088.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.