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Finding the Third Proportional to 38,232 and 59,052

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Solution

The third proportional to 38,232 and 59,052 is: 91,209.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,232 : 59,052 = 59,052 : x
  2. Step 2: Convert to fraction form
    38,232/59,052 = 59,052/x
  3. Step 3: Cross multiply
    38,232x = 59,052 × 59,052
  4. Step 4: Simplify right side
    38,232x = 3,487,138,704
  5. Step 5: Solve for x
    x = 3,487,138,704/38,232
  6. Step 6: Final answer
    x = 91,209.95

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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.