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Finding the Third Proportional to 42,696 and 63,697

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Solution

The third proportional to 42,696 and 63,697 is: 95,027.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,696 : 63,697 = 63,697 : x
  2. Step 2: Convert to fraction form
    42,696/63,697 = 63,697/x
  3. Step 3: Cross multiply
    42,696x = 63,697 × 63,697
  4. Step 4: Simplify right side
    42,696x = 4,057,307,809
  5. Step 5: Solve for x
    x = 4,057,307,809/42,696
  6. Step 6: Final answer
    x = 95,027.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.