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Finding the Third Proportional to 14,331 and 32,187

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Solution

The third proportional to 14,331 and 32,187 is: 72,291.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,331 : 32,187 = 32,187 : x
  2. Step 2: Convert to fraction form
    14,331/32,187 = 32,187/x
  3. Step 3: Cross multiply
    14,331x = 32,187 × 32,187
  4. Step 4: Simplify right side
    14,331x = 1,036,002,969
  5. Step 5: Solve for x
    x = 1,036,002,969/14,331
  6. Step 6: Final answer
    x = 72,291.05

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.