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Finding the Third Proportional to 40,515 and 87,510

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Solution

The third proportional to 40,515 and 87,510 is: 189,016.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,515 : 87,510 = 87,510 : x
  2. Step 2: Convert to fraction form
    40,515/87,510 = 87,510/x
  3. Step 3: Cross multiply
    40,515x = 87,510 × 87,510
  4. Step 4: Simplify right side
    40,515x = 7,658,000,100
  5. Step 5: Solve for x
    x = 7,658,000,100/40,515
  6. Step 6: Final answer
    x = 189,016.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.