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Finding the Third Proportional to 10,320.75 and 22,613.25

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Solution

The third proportional to 10,320.75 and 22,613.25 is: 49,546.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,320.75 : 22,613.25 = 22,613.25 : x
  2. Step 2: Convert to fraction form
    10,320.75/22,613.25 = 22,613.25/x
  3. Step 3: Cross multiply
    10,320.75x = 22,613.25 × 22,613.25
  4. Step 4: Simplify right side
    10,320.75x = 511,359,075.56
  5. Step 5: Solve for x
    x = 511,359,075.56/10,320.75
  6. Step 6: Final answer
    x = 49,546.70

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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.