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Finding the Third Proportional to 34,894 and 75,637

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Solution

The third proportional to 34,894 and 75,637 is: 163,952.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,894 : 75,637 = 75,637 : x
  2. Step 2: Convert to fraction form
    34,894/75,637 = 75,637/x
  3. Step 3: Cross multiply
    34,894x = 75,637 × 75,637
  4. Step 4: Simplify right side
    34,894x = 5,720,955,769
  5. Step 5: Solve for x
    x = 5,720,955,769/34,894
  6. Step 6: Final answer
    x = 163,952.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.