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Finding the Third Proportional to 38,402 and 56,475

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Solution

The third proportional to 38,402 and 56,475 is: 83,053.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,402 : 56,475 = 56,475 : x
  2. Step 2: Convert to fraction form
    38,402/56,475 = 56,475/x
  3. Step 3: Cross multiply
    38,402x = 56,475 × 56,475
  4. Step 4: Simplify right side
    38,402x = 3,189,425,625
  5. Step 5: Solve for x
    x = 3,189,425,625/38,402
  6. Step 6: Final answer
    x = 83,053.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.