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Finding the Third Proportional to 38,228.50 and 59,047

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Solution

The third proportional to 38,228.50 and 59,047 is: 91,202.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,228.50 : 59,047 = 59,047 : x
  2. Step 2: Convert to fraction form
    38,228.50/59,047 = 59,047/x
  3. Step 3: Cross multiply
    38,228.50x = 59,047 × 59,047
  4. Step 4: Simplify right side
    38,228.50x = 3,486,548,209
  5. Step 5: Solve for x
    x = 3,486,548,209/38,228.50
  6. Step 6: Final answer
    x = 91,202.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.