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Finding the Third Proportional to 22,462.31 and 32,000.06

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Solution

The third proportional to 22,462.31 and 32,000.06 is: 45,587.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,462.31 : 32,000.06 = 32,000.06 : x
  2. Step 2: Convert to fraction form
    22,462.31/32,000.06 = 32,000.06/x
  3. Step 3: Cross multiply
    22,462.31x = 32,000.06 × 32,000.06
  4. Step 4: Simplify right side
    22,462.31x = 1,024,004,000.00
  5. Step 5: Solve for x
    x = 1,024,004,000.00/22,462.31
  6. Step 6: Final answer
    x = 45,587.65

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.