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Finding the Third Proportional to 22,429.13 and 32,599.69

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Solution

The third proportional to 22,429.13 and 32,599.69 is: 47,382.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,429.13 : 32,599.69 = 32,599.69 : x
  2. Step 2: Convert to fraction form
    22,429.13/32,599.69 = 32,599.69/x
  3. Step 3: Cross multiply
    22,429.13x = 32,599.69 × 32,599.69
  4. Step 4: Simplify right side
    22,429.13x = 1,062,739,625.10
  5. Step 5: Solve for x
    x = 1,062,739,625.10/22,429.13
  6. Step 6: Final answer
    x = 47,382.13

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.