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Finding the Third Proportional to 15,185 and 32,105

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Solution

The third proportional to 15,185 and 32,105 is: 67,878.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,185 : 32,105 = 32,105 : x
  2. Step 2: Convert to fraction form
    15,185/32,105 = 32,105/x
  3. Step 3: Cross multiply
    15,185x = 32,105 × 32,105
  4. Step 4: Simplify right side
    15,185x = 1,030,731,025
  5. Step 5: Solve for x
    x = 1,030,731,025/15,185
  6. Step 6: Final answer
    x = 67,878.24

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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.