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Finding the Third Proportional to 38,562 and 58,329

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Solution

The third proportional to 38,562 and 58,329 is: 88,228.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,562 : 58,329 = 58,329 : x
  2. Step 2: Convert to fraction form
    38,562/58,329 = 58,329/x
  3. Step 3: Cross multiply
    38,562x = 58,329 × 58,329
  4. Step 4: Simplify right side
    38,562x = 3,402,272,241
  5. Step 5: Solve for x
    x = 3,402,272,241/38,562
  6. Step 6: Final answer
    x = 88,228.63

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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.