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Finding the Third Proportional to 40,396 and 88,487

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Solution

The third proportional to 40,396 and 88,487 is: 193,829.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,396 : 88,487 = 88,487 : x
  2. Step 2: Convert to fraction form
    40,396/88,487 = 88,487/x
  3. Step 3: Cross multiply
    40,396x = 88,487 × 88,487
  4. Step 4: Simplify right side
    40,396x = 7,829,949,169
  5. Step 5: Solve for x
    x = 7,829,949,169/40,396
  6. Step 6: Final answer
    x = 193,829.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.