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Finding the Third Proportional to 15,101 and 32,029

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Solution

The third proportional to 15,101 and 32,029 is: 67,933.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,101 : 32,029 = 32,029 : x
  2. Step 2: Convert to fraction form
    15,101/32,029 = 32,029/x
  3. Step 3: Cross multiply
    15,101x = 32,029 × 32,029
  4. Step 4: Simplify right side
    15,101x = 1,025,856,841
  5. Step 5: Solve for x
    x = 1,025,856,841/15,101
  6. Step 6: Final answer
    x = 67,933.04

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.