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Finding the Third Proportional to 48,434 and 72,681

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Solution

The third proportional to 48,434 and 72,681 is: 109,066.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,434 : 72,681 = 72,681 : x
  2. Step 2: Convert to fraction form
    48,434/72,681 = 72,681/x
  3. Step 3: Cross multiply
    48,434x = 72,681 × 72,681
  4. Step 4: Simplify right side
    48,434x = 5,282,527,761
  5. Step 5: Solve for x
    x = 5,282,527,761/48,434
  6. Step 6: Final answer
    x = 109,066.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.