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Finding the Third Proportional to 16,060 and 21,578

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Solution

The third proportional to 16,060 and 21,578 is: 28,991.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,060 : 21,578 = 21,578 : x
  2. Step 2: Convert to fraction form
    16,060/21,578 = 21,578/x
  3. Step 3: Cross multiply
    16,060x = 21,578 × 21,578
  4. Step 4: Simplify right side
    16,060x = 465,610,084
  5. Step 5: Solve for x
    x = 465,610,084/16,060
  6. Step 6: Final answer
    x = 28,991.91

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.