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Finding the Third Proportional to 16,537.03 and 24,842.81

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Solution

The third proportional to 16,537.03 and 24,842.81 is: 37,320.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,537.03 : 24,842.81 = 24,842.81 : x
  2. Step 2: Convert to fraction form
    16,537.03/24,842.81 = 24,842.81/x
  3. Step 3: Cross multiply
    16,537.03x = 24,842.81 × 24,842.81
  4. Step 4: Simplify right side
    16,537.03x = 617,165,332.91
  5. Step 5: Solve for x
    x = 617,165,332.91/16,537.03
  6. Step 6: Final answer
    x = 37,320.20

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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.