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Finding the Third Proportional to 10,719 and 16,489

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Solution

The third proportional to 10,719 and 16,489 is: 25,364.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,719 : 16,489 = 16,489 : x
  2. Step 2: Convert to fraction form
    10,719/16,489 = 16,489/x
  3. Step 3: Cross multiply
    10,719x = 16,489 × 16,489
  4. Step 4: Simplify right side
    10,719x = 271,887,121
  5. Step 5: Solve for x
    x = 271,887,121/10,719
  6. Step 6: Final answer
    x = 25,364.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.