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Finding the Third Proportional to 23,871.38 and 36,569.81

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Solution

The third proportional to 23,871.38 and 36,569.81 is: 56,023.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,871.38 : 36,569.81 = 36,569.81 : x
  2. Step 2: Convert to fraction form
    23,871.38/36,569.81 = 36,569.81/x
  3. Step 3: Cross multiply
    23,871.38x = 36,569.81 × 36,569.81
  4. Step 4: Simplify right side
    23,871.38x = 1,337,351,186.29
  5. Step 5: Solve for x
    x = 1,337,351,186.29/23,871.38
  6. Step 6: Final answer
    x = 56,023.22

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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.