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Finding the Third Proportional to 37,948 and 60,972

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Solution

The third proportional to 37,948 and 60,972 is: 97,965.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,948 : 60,972 = 60,972 : x
  2. Step 2: Convert to fraction form
    37,948/60,972 = 60,972/x
  3. Step 3: Cross multiply
    37,948x = 60,972 × 60,972
  4. Step 4: Simplify right side
    37,948x = 3,717,584,784
  5. Step 5: Solve for x
    x = 3,717,584,784/37,948
  6. Step 6: Final answer
    x = 97,965.24

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.