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Finding the Third Proportional to 9,144.56 and 19,653.47

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Solution

The third proportional to 9,144.56 and 19,653.47 is: 42,239.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,144.56 : 19,653.47 = 19,653.47 : x
  2. Step 2: Convert to fraction form
    9,144.56/19,653.47 = 19,653.47/x
  3. Step 3: Cross multiply
    9,144.56x = 19,653.47 × 19,653.47
  4. Step 4: Simplify right side
    9,144.56x = 386,258,833.91
  5. Step 5: Solve for x
    x = 386,258,833.91/9,144.56
  6. Step 6: Final answer
    x = 42,239.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.