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Finding the Third Proportional to 14,651.50 and 32,291

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Solution

The third proportional to 14,651.50 and 32,291 is: 71,167.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,651.50 : 32,291 = 32,291 : x
  2. Step 2: Convert to fraction form
    14,651.50/32,291 = 32,291/x
  3. Step 3: Cross multiply
    14,651.50x = 32,291 × 32,291
  4. Step 4: Simplify right side
    14,651.50x = 1,042,708,681
  5. Step 5: Solve for x
    x = 1,042,708,681/14,651.50
  6. Step 6: Final answer
    x = 71,167.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.