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Finding the Third Proportional to 32,014.13 and 34,884.56

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Solution

The third proportional to 32,014.13 and 34,884.56 is: 38,012.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,014.13 : 34,884.56 = 34,884.56 : x
  2. Step 2: Convert to fraction form
    32,014.13/34,884.56 = 34,884.56/x
  3. Step 3: Cross multiply
    32,014.13x = 34,884.56 × 34,884.56
  4. Step 4: Simplify right side
    32,014.13x = 1,216,932,700.82
  5. Step 5: Solve for x
    x = 1,216,932,700.82/32,014.13
  6. Step 6: Final answer
    x = 38,012.37

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.