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Finding the Third Proportional to 22,432 and 31,434

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Solution

The third proportional to 22,432 and 31,434 is: 44,048.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,432 : 31,434 = 31,434 : x
  2. Step 2: Convert to fraction form
    22,432/31,434 = 31,434/x
  3. Step 3: Cross multiply
    22,432x = 31,434 × 31,434
  4. Step 4: Simplify right side
    22,432x = 988,096,356
  5. Step 5: Solve for x
    x = 988,096,356/22,432
  6. Step 6: Final answer
    x = 44,048.52

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.