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Finding the Third Proportional to 14,697.50 and 32,311

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Solution

The third proportional to 14,697.50 and 32,311 is: 71,032.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,697.50 : 32,311 = 32,311 : x
  2. Step 2: Convert to fraction form
    14,697.50/32,311 = 32,311/x
  3. Step 3: Cross multiply
    14,697.50x = 32,311 × 32,311
  4. Step 4: Simplify right side
    14,697.50x = 1,044,000,721
  5. Step 5: Solve for x
    x = 1,044,000,721/14,697.50
  6. Step 6: Final answer
    x = 71,032.54

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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.