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Finding the Third Proportional to 44,442 and 70,677

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Solution

The third proportional to 44,442 and 70,677 is: 112,399.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,442 : 70,677 = 70,677 : x
  2. Step 2: Convert to fraction form
    44,442/70,677 = 70,677/x
  3. Step 3: Cross multiply
    44,442x = 70,677 × 70,677
  4. Step 4: Simplify right side
    44,442x = 4,995,238,329
  5. Step 5: Solve for x
    x = 4,995,238,329/44,442
  6. Step 6: Final answer
    x = 112,399.04

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.