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Finding the Third Proportional to 12,132.38 and 26,703.75

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Solution

The third proportional to 12,132.38 and 26,703.75 is: 58,775.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,132.38 : 26,703.75 = 26,703.75 : x
  2. Step 2: Convert to fraction form
    12,132.38/26,703.75 = 26,703.75/x
  3. Step 3: Cross multiply
    12,132.38x = 26,703.75 × 26,703.75
  4. Step 4: Simplify right side
    12,132.38x = 713,090,264.06
  5. Step 5: Solve for x
    x = 713,090,264.06/12,132.38
  6. Step 6: Final answer
    x = 58,775.82

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.