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Finding the Third Proportional to 22,371.19 and 31,612.78

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Solution

The third proportional to 22,371.19 and 31,612.78 is: 44,672.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,371.19 : 31,612.78 = 31,612.78 : x
  2. Step 2: Convert to fraction form
    22,371.19/31,612.78 = 31,612.78/x
  3. Step 3: Cross multiply
    22,371.19x = 31,612.78 × 31,612.78
  4. Step 4: Simplify right side
    22,371.19x = 999,367,938.36
  5. Step 5: Solve for x
    x = 999,367,938.36/22,371.19
  6. Step 6: Final answer
    x = 44,672.10

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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.