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Finding the Third Proportional to 27,232 and 31,552

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Solution

The third proportional to 27,232 and 31,552 is: 36,557.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,232 : 31,552 = 31,552 : x
  2. Step 2: Convert to fraction form
    27,232/31,552 = 31,552/x
  3. Step 3: Cross multiply
    27,232x = 31,552 × 31,552
  4. Step 4: Simplify right side
    27,232x = 995,528,704
  5. Step 5: Solve for x
    x = 995,528,704/27,232
  6. Step 6: Final answer
    x = 36,557.31

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.