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Finding the Third Proportional to 9,744.75 and 21,049.88

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Solution

The third proportional to 9,744.75 and 21,049.88 is: 45,470.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,744.75 : 21,049.88 = 21,049.88 : x
  2. Step 2: Convert to fraction form
    9,744.75/21,049.88 = 21,049.88/x
  3. Step 3: Cross multiply
    9,744.75x = 21,049.88 × 21,049.88
  4. Step 4: Simplify right side
    9,744.75x = 443,097,237.52
  5. Step 5: Solve for x
    x = 443,097,237.52/9,744.75
  6. Step 6: Final answer
    x = 45,470.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.