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Finding the Third Proportional to 47,361 and 70,717

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Solution

The third proportional to 47,361 and 70,717 is: 105,590.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,361 : 70,717 = 70,717 : x
  2. Step 2: Convert to fraction form
    47,361/70,717 = 70,717/x
  3. Step 3: Cross multiply
    47,361x = 70,717 × 70,717
  4. Step 4: Simplify right side
    47,361x = 5,000,894,089
  5. Step 5: Solve for x
    x = 5,000,894,089/47,361
  6. Step 6: Final answer
    x = 105,590.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.