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Finding the Third Proportional to 52,870 and 72,013

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Solution

The third proportional to 52,870 and 72,013 is: 98,087.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,870 : 72,013 = 72,013 : x
  2. Step 2: Convert to fraction form
    52,870/72,013 = 72,013/x
  3. Step 3: Cross multiply
    52,870x = 72,013 × 72,013
  4. Step 4: Simplify right side
    52,870x = 5,185,872,169
  5. Step 5: Solve for x
    x = 5,185,872,169/52,870
  6. Step 6: Final answer
    x = 98,087.24

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.