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Finding the Third Proportional to 44,960 and 69,468

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Solution

The third proportional to 44,960 and 69,468 is: 107,335.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,960 : 69,468 = 69,468 : x
  2. Step 2: Convert to fraction form
    44,960/69,468 = 69,468/x
  3. Step 3: Cross multiply
    44,960x = 69,468 × 69,468
  4. Step 4: Simplify right side
    44,960x = 4,825,803,024
  5. Step 5: Solve for x
    x = 4,825,803,024/44,960
  6. Step 6: Final answer
    x = 107,335.48

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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.