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Finding the Third Proportional to 12,762.56 and 17,868.09

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Solution

The third proportional to 12,762.56 and 17,868.09 is: 25,016.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,762.56 : 17,868.09 = 17,868.09 : x
  2. Step 2: Convert to fraction form
    12,762.56/17,868.09 = 17,868.09/x
  3. Step 3: Cross multiply
    12,762.56x = 17,868.09 × 17,868.09
  4. Step 4: Simplify right side
    12,762.56x = 319,268,774.26
  5. Step 5: Solve for x
    x = 319,268,774.26/12,762.56
  6. Step 6: Final answer
    x = 25,016.04

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.