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Finding the Third Proportional to 41,532.75 and 97,507.13

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Solution

The third proportional to 41,532.75 and 97,507.13 is: 228,919.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,532.75 : 97,507.13 = 97,507.13 : x
  2. Step 2: Convert to fraction form
    41,532.75/97,507.13 = 97,507.13/x
  3. Step 3: Cross multiply
    41,532.75x = 97,507.13 × 97,507.13
  4. Step 4: Simplify right side
    41,532.75x = 9,507,639,425.77
  5. Step 5: Solve for x
    x = 9,507,639,425.77/41,532.75
  6. Step 6: Final answer
    x = 228,919.09

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.