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Finding the Third Proportional to 9,744.75 and 10,554.75

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Solution

The third proportional to 9,744.75 and 10,554.75 is: 11,432.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,744.75 : 10,554.75 = 10,554.75 : x
  2. Step 2: Convert to fraction form
    9,744.75/10,554.75 = 10,554.75/x
  3. Step 3: Cross multiply
    9,744.75x = 10,554.75 × 10,554.75
  4. Step 4: Simplify right side
    9,744.75x = 111,402,747.56
  5. Step 5: Solve for x
    x = 111,402,747.56/9,744.75
  6. Step 6: Final answer
    x = 11,432.08

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.