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Finding the Third Proportional to 43,352 and 58,548

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Solution

The third proportional to 43,352 and 58,548 is: 79,070.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,352 : 58,548 = 58,548 : x
  2. Step 2: Convert to fraction form
    43,352/58,548 = 58,548/x
  3. Step 3: Cross multiply
    43,352x = 58,548 × 58,548
  4. Step 4: Simplify right side
    43,352x = 3,427,868,304
  5. Step 5: Solve for x
    x = 3,427,868,304/43,352
  6. Step 6: Final answer
    x = 79,070.59

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.