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Finding the Third Proportional to 29,498 and 44,716

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Solution

The third proportional to 29,498 and 44,716 is: 67,784.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,498 : 44,716 = 44,716 : x
  2. Step 2: Convert to fraction form
    29,498/44,716 = 44,716/x
  3. Step 3: Cross multiply
    29,498x = 44,716 × 44,716
  4. Step 4: Simplify right side
    29,498x = 1,999,520,656
  5. Step 5: Solve for x
    x = 1,999,520,656/29,498
  6. Step 6: Final answer
    x = 67,784.96

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.