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Finding the Third Proportional to 37,656 and 81,511

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Solution

The third proportional to 37,656 and 81,511 is: 176,440.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,656 : 81,511 = 81,511 : x
  2. Step 2: Convert to fraction form
    37,656/81,511 = 81,511/x
  3. Step 3: Cross multiply
    37,656x = 81,511 × 81,511
  4. Step 4: Simplify right side
    37,656x = 6,644,043,121
  5. Step 5: Solve for x
    x = 6,644,043,121/37,656
  6. Step 6: Final answer
    x = 176,440.49

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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.