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Finding the Third Proportional to 9,744.75 and 15,770.25

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Solution

The third proportional to 9,744.75 and 15,770.25 is: 25,521.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,744.75 : 15,770.25 = 15,770.25 : x
  2. Step 2: Convert to fraction form
    9,744.75/15,770.25 = 15,770.25/x
  3. Step 3: Cross multiply
    9,744.75x = 15,770.25 × 15,770.25
  4. Step 4: Simplify right side
    9,744.75x = 248,700,785.06
  5. Step 5: Solve for x
    x = 248,700,785.06/9,744.75
  6. Step 6: Final answer
    x = 25,521.52

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.