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Finding the Third Proportional to 37,507.13 and 88,538.25

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Solution

The third proportional to 37,507.13 and 88,538.25 is: 209,000.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,507.13 : 88,538.25 = 88,538.25 : x
  2. Step 2: Convert to fraction form
    37,507.13/88,538.25 = 88,538.25/x
  3. Step 3: Cross multiply
    37,507.13x = 88,538.25 × 88,538.25
  4. Step 4: Simplify right side
    37,507.13x = 7,839,021,713.06
  5. Step 5: Solve for x
    x = 7,839,021,713.06/37,507.13
  6. Step 6: Final answer
    x = 209,000.87

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.