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Finding the Third Proportional to 38,597 and 57,989

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Solution

The third proportional to 38,597 and 57,989 is: 87,123.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,597 : 57,989 = 57,989 : x
  2. Step 2: Convert to fraction form
    38,597/57,989 = 57,989/x
  3. Step 3: Cross multiply
    38,597x = 57,989 × 57,989
  4. Step 4: Simplify right side
    38,597x = 3,362,724,121
  5. Step 5: Solve for x
    x = 3,362,724,121/38,597
  6. Step 6: Final answer
    x = 87,123.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.