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Finding the Third Proportional to 39,826.69 and 87,307.88

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Solution

The third proportional to 39,826.69 and 87,307.88 is: 191,395.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,826.69 : 87,307.88 = 87,307.88 : x
  2. Step 2: Convert to fraction form
    39,826.69/87,307.88 = 87,307.88/x
  3. Step 3: Cross multiply
    39,826.69x = 87,307.88 × 87,307.88
  4. Step 4: Simplify right side
    39,826.69x = 7,622,665,037.02
  5. Step 5: Solve for x
    x = 7,622,665,037.02/39,826.69
  6. Step 6: Final answer
    x = 191,395.91

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.