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Finding the Third Proportional to 9,036.56 and 19,610.86

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Solution

The third proportional to 9,036.56 and 19,610.86 is: 42,558.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,036.56 : 19,610.86 = 19,610.86 : x
  2. Step 2: Convert to fraction form
    9,036.56/19,610.86 = 19,610.86/x
  3. Step 3: Cross multiply
    9,036.56x = 19,610.86 × 19,610.86
  4. Step 4: Simplify right side
    9,036.56x = 384,585,805.43
  5. Step 5: Solve for x
    x = 384,585,805.43/9,036.56
  6. Step 6: Final answer
    x = 42,558.86

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.