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Finding the Third Proportional to 24,175.13 and 36,957.38

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Solution

The third proportional to 24,175.13 and 36,957.38 is: 56,498.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,175.13 : 36,957.38 = 36,957.38 : x
  2. Step 2: Convert to fraction form
    24,175.13/36,957.38 = 36,957.38/x
  3. Step 3: Cross multiply
    24,175.13x = 36,957.38 × 36,957.38
  4. Step 4: Simplify right side
    24,175.13x = 1,365,847,566.89
  5. Step 5: Solve for x
    x = 1,365,847,566.89/24,175.13
  6. Step 6: Final answer
    x = 56,498.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.