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Finding the Third Proportional to 10,977 and 15,687

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Solution

The third proportional to 10,977 and 15,687 is: 22,417.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,977 : 15,687 = 15,687 : x
  2. Step 2: Convert to fraction form
    10,977/15,687 = 15,687/x
  3. Step 3: Cross multiply
    10,977x = 15,687 × 15,687
  4. Step 4: Simplify right side
    10,977x = 246,081,969
  5. Step 5: Solve for x
    x = 246,081,969/10,977
  6. Step 6: Final answer
    x = 22,417.96

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.