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Finding the Third Proportional to 32,987 and 77,791.50

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Solution

The third proportional to 32,987 and 77,791.50 is: 183,451.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,987 : 77,791.50 = 77,791.50 : x
  2. Step 2: Convert to fraction form
    32,987/77,791.50 = 77,791.50/x
  3. Step 3: Cross multiply
    32,987x = 77,791.50 × 77,791.50
  4. Step 4: Simplify right side
    32,987x = 6,051,517,472.25
  5. Step 5: Solve for x
    x = 6,051,517,472.25/32,987
  6. Step 6: Final answer
    x = 183,451.59

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.