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Finding the Third Proportional to 22,666.13 and 31,862.81

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Solution

The third proportional to 22,666.13 and 31,862.81 is: 44,791.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,666.13 : 31,862.81 = 31,862.81 : x
  2. Step 2: Convert to fraction form
    22,666.13/31,862.81 = 31,862.81/x
  3. Step 3: Cross multiply
    22,666.13x = 31,862.81 × 31,862.81
  4. Step 4: Simplify right side
    22,666.13x = 1,015,238,820.41
  5. Step 5: Solve for x
    x = 1,015,238,820.41/22,666.13
  6. Step 6: Final answer
    x = 44,791.02

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.