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Finding the Third Proportional to 38,966.06 and 59,064.19

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Solution

The third proportional to 38,966.06 and 59,064.19 is: 89,528.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,966.06 : 59,064.19 = 59,064.19 : x
  2. Step 2: Convert to fraction form
    38,966.06/59,064.19 = 59,064.19/x
  3. Step 3: Cross multiply
    38,966.06x = 59,064.19 × 59,064.19
  4. Step 4: Simplify right side
    38,966.06x = 3,488,578,245.04
  5. Step 5: Solve for x
    x = 3,488,578,245.04/38,966.06
  6. Step 6: Final answer
    x = 89,528.63

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.