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Finding the Third Proportional to 9,488.25 and 20,822.25

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Solution

The third proportional to 9,488.25 and 20,822.25 is: 45,695.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,488.25 : 20,822.25 = 20,822.25 : x
  2. Step 2: Convert to fraction form
    9,488.25/20,822.25 = 20,822.25/x
  3. Step 3: Cross multiply
    9,488.25x = 20,822.25 × 20,822.25
  4. Step 4: Simplify right side
    9,488.25x = 433,566,095.06
  5. Step 5: Solve for x
    x = 433,566,095.06/9,488.25
  6. Step 6: Final answer
    x = 45,695.05

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Why These Related Problems?

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