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Finding the Third Proportional to 40,536 and 87,624

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Solution

The third proportional to 40,536 and 87,624 is: 189,411.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,536 : 87,624 = 87,624 : x
  2. Step 2: Convert to fraction form
    40,536/87,624 = 87,624/x
  3. Step 3: Cross multiply
    40,536x = 87,624 × 87,624
  4. Step 4: Simplify right side
    40,536x = 7,677,965,376
  5. Step 5: Solve for x
    x = 7,677,965,376/40,536
  6. Step 6: Final answer
    x = 189,411.03

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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.