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Finding the Third Proportional to 9,966.80 and 23,271.05

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Solution

The third proportional to 9,966.80 and 23,271.05 is: 54,334.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,966.80 : 23,271.05 = 23,271.05 : x
  2. Step 2: Convert to fraction form
    9,966.80/23,271.05 = 23,271.05/x
  3. Step 3: Cross multiply
    9,966.80x = 23,271.05 × 23,271.05
  4. Step 4: Simplify right side
    9,966.80x = 541,541,622.66
  5. Step 5: Solve for x
    x = 541,541,622.66/9,966.80
  6. Step 6: Final answer
    x = 54,334.57

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.