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Finding the Third Proportional to 14,794.31 and 32,050.69

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Solution

The third proportional to 14,794.31 and 32,050.69 is: 69,435.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,794.31 : 32,050.69 = 32,050.69 : x
  2. Step 2: Convert to fraction form
    14,794.31/32,050.69 = 32,050.69/x
  3. Step 3: Cross multiply
    14,794.31x = 32,050.69 × 32,050.69
  4. Step 4: Simplify right side
    14,794.31x = 1,027,246,569.22
  5. Step 5: Solve for x
    x = 1,027,246,569.22/14,794.31
  6. Step 6: Final answer
    x = 69,435.24

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.