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Finding the Third Proportional to 52,719 and 62,013.75

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Solution

The third proportional to 52,719 and 62,013.75 is: 72,947.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,719 : 62,013.75 = 62,013.75 : x
  2. Step 2: Convert to fraction form
    52,719/62,013.75 = 62,013.75/x
  3. Step 3: Cross multiply
    52,719x = 62,013.75 × 62,013.75
  4. Step 4: Simplify right side
    52,719x = 3,845,705,189.06
  5. Step 5: Solve for x
    x = 3,845,705,189.06/52,719
  6. Step 6: Final answer
    x = 72,947.23

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.