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Finding the Third Proportional to 38,472 and 58,221

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Solution

The third proportional to 38,472 and 58,221 is: 88,107.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,472 : 58,221 = 58,221 : x
  2. Step 2: Convert to fraction form
    38,472/58,221 = 58,221/x
  3. Step 3: Cross multiply
    38,472x = 58,221 × 58,221
  4. Step 4: Simplify right side
    38,472x = 3,389,684,841
  5. Step 5: Solve for x
    x = 3,389,684,841/38,472
  6. Step 6: Final answer
    x = 88,107.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.