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Finding the Third Proportional to 48,597 and 62,097

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Solution

The third proportional to 48,597 and 62,097 is: 79,347.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,597 : 62,097 = 62,097 : x
  2. Step 2: Convert to fraction form
    48,597/62,097 = 62,097/x
  3. Step 3: Cross multiply
    48,597x = 62,097 × 62,097
  4. Step 4: Simplify right side
    48,597x = 3,856,037,409
  5. Step 5: Solve for x
    x = 3,856,037,409/48,597
  6. Step 6: Final answer
    x = 79,347.23

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.