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Finding the Third Proportional to 39,582 and 87,264

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Solution

The third proportional to 39,582 and 87,264 is: 192,385.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,582 : 87,264 = 87,264 : x
  2. Step 2: Convert to fraction form
    39,582/87,264 = 87,264/x
  3. Step 3: Cross multiply
    39,582x = 87,264 × 87,264
  4. Step 4: Simplify right side
    39,582x = 7,615,005,696
  5. Step 5: Solve for x
    x = 7,615,005,696/39,582
  6. Step 6: Final answer
    x = 192,385.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.