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Finding the Third Proportional to 42,361 and 56,473

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Solution

The third proportional to 42,361 and 56,473 is: 75,286.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,361 : 56,473 = 56,473 : x
  2. Step 2: Convert to fraction form
    42,361/56,473 = 56,473/x
  3. Step 3: Cross multiply
    42,361x = 56,473 × 56,473
  4. Step 4: Simplify right side
    42,361x = 3,189,199,729
  5. Step 5: Solve for x
    x = 3,189,199,729/42,361
  6. Step 6: Final answer
    x = 75,286.22

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.