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Finding the Third Proportional to 27,003.38 and 57,712.50

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Solution

The third proportional to 27,003.38 and 57,712.50 is: 123,345.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,003.38 : 57,712.50 = 57,712.50 : x
  2. Step 2: Convert to fraction form
    27,003.38/57,712.50 = 57,712.50/x
  3. Step 3: Cross multiply
    27,003.38x = 57,712.50 × 57,712.50
  4. Step 4: Simplify right side
    27,003.38x = 3,330,732,656.25
  5. Step 5: Solve for x
    x = 3,330,732,656.25/27,003.38
  6. Step 6: Final answer
    x = 123,345.05

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.