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Finding the Third Proportional to 20,234.50 and 29,959

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Solution

The third proportional to 20,234.50 and 29,959 is: 44,357.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,234.50 : 29,959 = 29,959 : x
  2. Step 2: Convert to fraction form
    20,234.50/29,959 = 29,959/x
  3. Step 3: Cross multiply
    20,234.50x = 29,959 × 29,959
  4. Step 4: Simplify right side
    20,234.50x = 897,541,681
  5. Step 5: Solve for x
    x = 897,541,681/20,234.50
  6. Step 6: Final answer
    x = 44,357.00

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.