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Finding the Third Proportional to 39,584.16 and 61,384.55

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Solution

The third proportional to 39,584.16 and 61,384.55 is: 95,191.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,584.16 : 61,384.55 = 61,384.55 : x
  2. Step 2: Convert to fraction form
    39,584.16/61,384.55 = 61,384.55/x
  3. Step 3: Cross multiply
    39,584.16x = 61,384.55 × 61,384.55
  4. Step 4: Simplify right side
    39,584.16x = 3,768,063,314.40
  5. Step 5: Solve for x
    x = 3,768,063,314.40/39,584.16
  6. Step 6: Final answer
    x = 95,191.19

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.