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Finding the Third Proportional to 38,232 and 58,158

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Solution

The third proportional to 38,232 and 58,158 is: 88,469.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,232 : 58,158 = 58,158 : x
  2. Step 2: Convert to fraction form
    38,232/58,158 = 58,158/x
  3. Step 3: Cross multiply
    38,232x = 58,158 × 58,158
  4. Step 4: Simplify right side
    38,232x = 3,382,352,964
  5. Step 5: Solve for x
    x = 3,382,352,964/38,232
  6. Step 6: Final answer
    x = 88,469.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.