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Finding the Third Proportional to 12,543.75 and 17,835.32

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Solution

The third proportional to 12,543.75 and 17,835.32 is: 25,359.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,543.75 : 17,835.32 = 17,835.32 : x
  2. Step 2: Convert to fraction form
    12,543.75/17,835.32 = 17,835.32/x
  3. Step 3: Cross multiply
    12,543.75x = 17,835.32 × 17,835.32
  4. Step 4: Simplify right side
    12,543.75x = 318,098,498.25
  5. Step 5: Solve for x
    x = 318,098,498.25/12,543.75
  6. Step 6: Final answer
    x = 25,359.13

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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.