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Finding the Third Proportional to 38,884 and 59,470

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Solution

The third proportional to 38,884 and 59,470 is: 90,954.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,884 : 59,470 = 59,470 : x
  2. Step 2: Convert to fraction form
    38,884/59,470 = 59,470/x
  3. Step 3: Cross multiply
    38,884x = 59,470 × 59,470
  4. Step 4: Simplify right side
    38,884x = 3,536,680,900
  5. Step 5: Solve for x
    x = 3,536,680,900/38,884
  6. Step 6: Final answer
    x = 90,954.66

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.