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Finding the Third Proportional to 15,270 and 32,179

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Solution

The third proportional to 15,270 and 32,179 is: 67,811.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,270 : 32,179 = 32,179 : x
  2. Step 2: Convert to fraction form
    15,270/32,179 = 32,179/x
  3. Step 3: Cross multiply
    15,270x = 32,179 × 32,179
  4. Step 4: Simplify right side
    15,270x = 1,035,488,041
  5. Step 5: Solve for x
    x = 1,035,488,041/15,270
  6. Step 6: Final answer
    x = 67,811.92

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.