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Finding the Third Proportional to 34,413 and 75,387

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Solution

The third proportional to 34,413 and 75,387 is: 165,146.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,413 : 75,387 = 75,387 : x
  2. Step 2: Convert to fraction form
    34,413/75,387 = 75,387/x
  3. Step 3: Cross multiply
    34,413x = 75,387 × 75,387
  4. Step 4: Simplify right side
    34,413x = 5,683,199,769
  5. Step 5: Solve for x
    x = 5,683,199,769/34,413
  6. Step 6: Final answer
    x = 165,146.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.