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Finding the Third Proportional to 29,414 and 46,965

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Solution

The third proportional to 29,414 and 46,965 is: 74,988.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,414 : 46,965 = 46,965 : x
  2. Step 2: Convert to fraction form
    29,414/46,965 = 46,965/x
  3. Step 3: Cross multiply
    29,414x = 46,965 × 46,965
  4. Step 4: Simplify right side
    29,414x = 2,205,711,225
  5. Step 5: Solve for x
    x = 2,205,711,225/29,414
  6. Step 6: Final answer
    x = 74,988.48

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.