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Finding the Third Proportional to 15,400.13 and 24,748.03

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Solution

The third proportional to 15,400.13 and 24,748.03 is: 39,770.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,400.13 : 24,748.03 = 24,748.03 : x
  2. Step 2: Convert to fraction form
    15,400.13/24,748.03 = 24,748.03/x
  3. Step 3: Cross multiply
    15,400.13x = 24,748.03 × 24,748.03
  4. Step 4: Simplify right side
    15,400.13x = 612,465,050.75
  5. Step 5: Solve for x
    x = 612,465,050.75/15,400.13
  6. Step 6: Final answer
    x = 39,770.14

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.