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Finding the Third Proportional to 38,056 and 59,158

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Solution

The third proportional to 38,056 and 59,158 is: 91,961.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,056 : 59,158 = 59,158 : x
  2. Step 2: Convert to fraction form
    38,056/59,158 = 59,158/x
  3. Step 3: Cross multiply
    38,056x = 59,158 × 59,158
  4. Step 4: Simplify right side
    38,056x = 3,499,668,964
  5. Step 5: Solve for x
    x = 3,499,668,964/38,056
  6. Step 6: Final answer
    x = 91,961.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.