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Finding the Third Proportional to 30,899 and 44,458

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Solution

The third proportional to 30,899 and 44,458 is: 63,966.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,899 : 44,458 = 44,458 : x
  2. Step 2: Convert to fraction form
    30,899/44,458 = 44,458/x
  3. Step 3: Cross multiply
    30,899x = 44,458 × 44,458
  4. Step 4: Simplify right side
    30,899x = 1,976,513,764
  5. Step 5: Solve for x
    x = 1,976,513,764/30,899
  6. Step 6: Final answer
    x = 63,966.92

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.