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Finding the Third Proportional to 22,009.13 and 32,929.31

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Solution

The third proportional to 22,009.13 and 32,929.31 is: 49,267.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,009.13 : 32,929.31 = 32,929.31 : x
  2. Step 2: Convert to fraction form
    22,009.13/32,929.31 = 32,929.31/x
  3. Step 3: Cross multiply
    22,009.13x = 32,929.31 × 32,929.31
  4. Step 4: Simplify right side
    22,009.13x = 1,084,339,621.72
  5. Step 5: Solve for x
    x = 1,084,339,621.72/22,009.13
  6. Step 6: Final answer
    x = 49,267.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.