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Finding the Third Proportional to 38,536.59 and 84,437.44

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Solution

The third proportional to 38,536.59 and 84,437.44 is: 185,010.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,536.59 : 84,437.44 = 84,437.44 : x
  2. Step 2: Convert to fraction form
    38,536.59/84,437.44 = 84,437.44/x
  3. Step 3: Cross multiply
    38,536.59x = 84,437.44 × 84,437.44
  4. Step 4: Simplify right side
    38,536.59x = 7,129,680,851.57
  5. Step 5: Solve for x
    x = 7,129,680,851.57/38,536.59
  6. Step 6: Final answer
    x = 185,010.67

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.