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Finding the Third Proportional to 23,026.15 and 32,617.05

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Solution

The third proportional to 23,026.15 and 32,617.05 is: 46,202.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,026.15 : 32,617.05 = 32,617.05 : x
  2. Step 2: Convert to fraction form
    23,026.15/32,617.05 = 32,617.05/x
  3. Step 3: Cross multiply
    23,026.15x = 32,617.05 × 32,617.05
  4. Step 4: Simplify right side
    23,026.15x = 1,063,872,256.49
  5. Step 5: Solve for x
    x = 1,063,872,256.49/23,026.15
  6. Step 6: Final answer
    x = 46,202.79

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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.