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Finding the Third Proportional to 38,713 and 56,575

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Solution

The third proportional to 38,713 and 56,575 is: 82,678.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,713 : 56,575 = 56,575 : x
  2. Step 2: Convert to fraction form
    38,713/56,575 = 56,575/x
  3. Step 3: Cross multiply
    38,713x = 56,575 × 56,575
  4. Step 4: Simplify right side
    38,713x = 3,200,730,625
  5. Step 5: Solve for x
    x = 3,200,730,625/38,713
  6. Step 6: Final answer
    x = 82,678.44

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.