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Finding the Third Proportional to 34,972 and 54,527

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Solution

The third proportional to 34,972 and 54,527 is: 85,016.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,972 : 54,527 = 54,527 : x
  2. Step 2: Convert to fraction form
    34,972/54,527 = 54,527/x
  3. Step 3: Cross multiply
    34,972x = 54,527 × 54,527
  4. Step 4: Simplify right side
    34,972x = 2,973,193,729
  5. Step 5: Solve for x
    x = 2,973,193,729/34,972
  6. Step 6: Final answer
    x = 85,016.41

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.