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Finding the Third Proportional to 9,326.07 and 20,275.31

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Solution

The third proportional to 9,326.07 and 20,275.31 is: 44,079.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,326.07 : 20,275.31 = 20,275.31 : x
  2. Step 2: Convert to fraction form
    9,326.07/20,275.31 = 20,275.31/x
  3. Step 3: Cross multiply
    9,326.07x = 20,275.31 × 20,275.31
  4. Step 4: Simplify right side
    9,326.07x = 411,088,296.97
  5. Step 5: Solve for x
    x = 411,088,296.97/9,326.07
  6. Step 6: Final answer
    x = 44,079.46

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Why These Related Problems?

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