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Finding the Third Proportional to 39,565.34 and 91,515.13

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Solution

The third proportional to 39,565.34 and 91,515.13 is: 211,675.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,565.34 : 91,515.13 = 91,515.13 : x
  2. Step 2: Convert to fraction form
    39,565.34/91,515.13 = 91,515.13/x
  3. Step 3: Cross multiply
    39,565.34x = 91,515.13 × 91,515.13
  4. Step 4: Simplify right side
    39,565.34x = 8,375,018,818.73
  5. Step 5: Solve for x
    x = 8,375,018,818.73/39,565.34
  6. Step 6: Final answer
    x = 211,675.67

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.