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Finding the Third Proportional to 38,727 and 59,203.50

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Solution

The third proportional to 38,727 and 59,203.50 is: 90,506.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,727 : 59,203.50 = 59,203.50 : x
  2. Step 2: Convert to fraction form
    38,727/59,203.50 = 59,203.50/x
  3. Step 3: Cross multiply
    38,727x = 59,203.50 × 59,203.50
  4. Step 4: Simplify right side
    38,727x = 3,505,054,412.25
  5. Step 5: Solve for x
    x = 3,505,054,412.25/38,727
  6. Step 6: Final answer
    x = 90,506.74

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.