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Finding the Third Proportional to 38,464.88 and 59,042.67

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Solution

The third proportional to 38,464.88 and 59,042.67 is: 90,629.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,464.88 : 59,042.67 = 59,042.67 : x
  2. Step 2: Convert to fraction form
    38,464.88/59,042.67 = 59,042.67/x
  3. Step 3: Cross multiply
    38,464.88x = 59,042.67 × 59,042.67
  4. Step 4: Simplify right side
    38,464.88x = 3,486,037,102.14
  5. Step 5: Solve for x
    x = 3,486,037,102.14/38,464.88
  6. Step 6: Final answer
    x = 90,629.10

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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.