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Finding the Third Proportional to 48,908 and 71,971

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Solution

The third proportional to 48,908 and 71,971 is: 105,909.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,908 : 71,971 = 71,971 : x
  2. Step 2: Convert to fraction form
    48,908/71,971 = 71,971/x
  3. Step 3: Cross multiply
    48,908x = 71,971 × 71,971
  4. Step 4: Simplify right side
    48,908x = 5,179,824,841
  5. Step 5: Solve for x
    x = 5,179,824,841/48,908
  6. Step 6: Final answer
    x = 105,909.56

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.