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Finding the Third Proportional to 15,537 and 24,613.50

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Solution

The third proportional to 15,537 and 24,613.50 is: 38,992.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,537 : 24,613.50 = 24,613.50 : x
  2. Step 2: Convert to fraction form
    15,537/24,613.50 = 24,613.50/x
  3. Step 3: Cross multiply
    15,537x = 24,613.50 × 24,613.50
  4. Step 4: Simplify right side
    15,537x = 605,824,382.25
  5. Step 5: Solve for x
    x = 605,824,382.25/15,537
  6. Step 6: Final answer
    x = 38,992.37

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.