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Finding the Third Proportional to 44,689 and 69,486

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Solution

The third proportional to 44,689 and 69,486 is: 108,042.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,689 : 69,486 = 69,486 : x
  2. Step 2: Convert to fraction form
    44,689/69,486 = 69,486/x
  3. Step 3: Cross multiply
    44,689x = 69,486 × 69,486
  4. Step 4: Simplify right side
    44,689x = 4,828,304,196
  5. Step 5: Solve for x
    x = 4,828,304,196/44,689
  6. Step 6: Final answer
    x = 108,042.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.