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Finding the Third Proportional to 10,050 and 13,479

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Solution

The third proportional to 10,050 and 13,479 is: 18,077.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,050 : 13,479 = 13,479 : x
  2. Step 2: Convert to fraction form
    10,050/13,479 = 13,479/x
  3. Step 3: Cross multiply
    10,050x = 13,479 × 13,479
  4. Step 4: Simplify right side
    10,050x = 181,683,441
  5. Step 5: Solve for x
    x = 181,683,441/10,050
  6. Step 6: Final answer
    x = 18,077.95

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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.