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Finding the Third Proportional to 5,542 and 12,076

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Solution

The third proportional to 5,542 and 12,076 is: 26,313.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,542 : 12,076 = 12,076 : x
  2. Step 2: Convert to fraction form
    5,542/12,076 = 12,076/x
  3. Step 3: Cross multiply
    5,542x = 12,076 × 12,076
  4. Step 4: Simplify right side
    5,542x = 145,829,776
  5. Step 5: Solve for x
    x = 145,829,776/5,542
  6. Step 6: Final answer
    x = 26,313.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.