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Finding the Third Proportional to 31,987.41 and 69,647.34

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Solution

The third proportional to 31,987.41 and 69,647.34 is: 151,645.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,987.41 : 69,647.34 = 69,647.34 : x
  2. Step 2: Convert to fraction form
    31,987.41/69,647.34 = 69,647.34/x
  3. Step 3: Cross multiply
    31,987.41x = 69,647.34 × 69,647.34
  4. Step 4: Simplify right side
    31,987.41x = 4,850,752,491.43
  5. Step 5: Solve for x
    x = 4,850,752,491.43/31,987.41
  6. Step 6: Final answer
    x = 151,645.70

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.