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Finding the Third Proportional to 9,760.50 and 21,148.59

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Solution

The third proportional to 9,760.50 and 21,148.59 is: 45,823.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,760.50 : 21,148.59 = 21,148.59 : x
  2. Step 2: Convert to fraction form
    9,760.50/21,148.59 = 21,148.59/x
  3. Step 3: Cross multiply
    9,760.50x = 21,148.59 × 21,148.59
  4. Step 4: Simplify right side
    9,760.50x = 447,263,017.60
  5. Step 5: Solve for x
    x = 447,263,017.60/9,760.50
  6. Step 6: Final answer
    x = 45,823.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.