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Finding the Third Proportional to 10,789 and 15,721

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Solution

The third proportional to 10,789 and 15,721 is: 22,907.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,789 : 15,721 = 15,721 : x
  2. Step 2: Convert to fraction form
    10,789/15,721 = 15,721/x
  3. Step 3: Cross multiply
    10,789x = 15,721 × 15,721
  4. Step 4: Simplify right side
    10,789x = 247,149,841
  5. Step 5: Solve for x
    x = 247,149,841/10,789
  6. Step 6: Final answer
    x = 22,907.58

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.