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Finding the Third Proportional to 38,743 and 59,866.50

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Solution

The third proportional to 38,743 and 59,866.50 is: 92,506.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,743 : 59,866.50 = 59,866.50 : x
  2. Step 2: Convert to fraction form
    38,743/59,866.50 = 59,866.50/x
  3. Step 3: Cross multiply
    38,743x = 59,866.50 × 59,866.50
  4. Step 4: Simplify right side
    38,743x = 3,583,997,822.25
  5. Step 5: Solve for x
    x = 3,583,997,822.25/38,743
  6. Step 6: Final answer
    x = 92,506.98

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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.