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Finding the Third Proportional to 31,554 and 42,318

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Solution

The third proportional to 31,554 and 42,318 is: 56,753.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,554 : 42,318 = 42,318 : x
  2. Step 2: Convert to fraction form
    31,554/42,318 = 42,318/x
  3. Step 3: Cross multiply
    31,554x = 42,318 × 42,318
  4. Step 4: Simplify right side
    31,554x = 1,790,813,124
  5. Step 5: Solve for x
    x = 1,790,813,124/31,554
  6. Step 6: Final answer
    x = 56,753.92

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.