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Finding the Third Proportional to 38,479 and 59,106

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Solution

The third proportional to 38,479 and 59,106 is: 90,790.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,479 : 59,106 = 59,106 : x
  2. Step 2: Convert to fraction form
    38,479/59,106 = 59,106/x
  3. Step 3: Cross multiply
    38,479x = 59,106 × 59,106
  4. Step 4: Simplify right side
    38,479x = 3,493,519,236
  5. Step 5: Solve for x
    x = 3,493,519,236/38,479
  6. Step 6: Final answer
    x = 90,790.28

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.