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Finding the Third Proportional to 48,434 and 72,930

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Solution

The third proportional to 48,434 and 72,930 is: 109,815.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,434 : 72,930 = 72,930 : x
  2. Step 2: Convert to fraction form
    48,434/72,930 = 72,930/x
  3. Step 3: Cross multiply
    48,434x = 72,930 × 72,930
  4. Step 4: Simplify right side
    48,434x = 5,318,784,900
  5. Step 5: Solve for x
    x = 5,318,784,900/48,434
  6. Step 6: Final answer
    x = 109,815.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.