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Finding the Third Proportional to 44,744 and 69,560

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Solution

The third proportional to 44,744 and 69,560 is: 108,139.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,744 : 69,560 = 69,560 : x
  2. Step 2: Convert to fraction form
    44,744/69,560 = 69,560/x
  3. Step 3: Cross multiply
    44,744x = 69,560 × 69,560
  4. Step 4: Simplify right side
    44,744x = 4,838,593,600
  5. Step 5: Solve for x
    x = 4,838,593,600/44,744
  6. Step 6: Final answer
    x = 108,139.50

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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.