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Finding the Third Proportional to 43,210 and 62,447

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Solution

The third proportional to 43,210 and 62,447 is: 90,248.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,210 : 62,447 = 62,447 : x
  2. Step 2: Convert to fraction form
    43,210/62,447 = 62,447/x
  3. Step 3: Cross multiply
    43,210x = 62,447 × 62,447
  4. Step 4: Simplify right side
    43,210x = 3,899,627,809
  5. Step 5: Solve for x
    x = 3,899,627,809/43,210
  6. Step 6: Final answer
    x = 90,248.27

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.