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Finding the Third Proportional to 40,881 and 57,973.50

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Solution

The third proportional to 40,881 and 57,973.50 is: 82,212.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,881 : 57,973.50 = 57,973.50 : x
  2. Step 2: Convert to fraction form
    40,881/57,973.50 = 57,973.50/x
  3. Step 3: Cross multiply
    40,881x = 57,973.50 × 57,973.50
  4. Step 4: Simplify right side
    40,881x = 3,360,926,702.25
  5. Step 5: Solve for x
    x = 3,360,926,702.25/40,881
  6. Step 6: Final answer
    x = 82,212.44

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.