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Finding the Third Proportional to 14,872 and 32,195

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Solution

The third proportional to 14,872 and 32,195 is: 69,695.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,872 : 32,195 = 32,195 : x
  2. Step 2: Convert to fraction form
    14,872/32,195 = 32,195/x
  3. Step 3: Cross multiply
    14,872x = 32,195 × 32,195
  4. Step 4: Simplify right side
    14,872x = 1,036,518,025
  5. Step 5: Solve for x
    x = 1,036,518,025/14,872
  6. Step 6: Final answer
    x = 69,695.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.