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Finding the Third Proportional to 20,853.25 and 30,726.75

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Solution

The third proportional to 20,853.25 and 30,726.75 is: 45,275.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,853.25 : 30,726.75 = 30,726.75 : x
  2. Step 2: Convert to fraction form
    20,853.25/30,726.75 = 30,726.75/x
  3. Step 3: Cross multiply
    20,853.25x = 30,726.75 × 30,726.75
  4. Step 4: Simplify right side
    20,853.25x = 944,133,165.56
  5. Step 5: Solve for x
    x = 944,133,165.56/20,853.25
  6. Step 6: Final answer
    x = 45,275.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.