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Finding the Third Proportional to 45,730 and 60,694

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Solution

The third proportional to 45,730 and 60,694 is: 80,554.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,730 : 60,694 = 60,694 : x
  2. Step 2: Convert to fraction form
    45,730/60,694 = 60,694/x
  3. Step 3: Cross multiply
    45,730x = 60,694 × 60,694
  4. Step 4: Simplify right side
    45,730x = 3,683,761,636
  5. Step 5: Solve for x
    x = 3,683,761,636/45,730
  6. Step 6: Final answer
    x = 80,554.60

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.