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Finding the Third Proportional to 8,542 and 12,985

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Solution

The third proportional to 8,542 and 12,985 is: 19,738.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,542 : 12,985 = 12,985 : x
  2. Step 2: Convert to fraction form
    8,542/12,985 = 12,985/x
  3. Step 3: Cross multiply
    8,542x = 12,985 × 12,985
  4. Step 4: Simplify right side
    8,542x = 168,610,225
  5. Step 5: Solve for x
    x = 168,610,225/8,542
  6. Step 6: Final answer
    x = 19,738.96

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.