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Finding the Third Proportional to 25,515 and 38,296.13

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Solution

The third proportional to 25,515 and 38,296.13 is: 57,479.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,515 : 38,296.13 = 38,296.13 : x
  2. Step 2: Convert to fraction form
    25,515/38,296.13 = 38,296.13/x
  3. Step 3: Cross multiply
    25,515x = 38,296.13 × 38,296.13
  4. Step 4: Simplify right side
    25,515x = 1,466,593,190.02
  5. Step 5: Solve for x
    x = 1,466,593,190.02/25,515
  6. Step 6: Final answer
    x = 57,479.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.