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Finding the Third Proportional to 9,753.33 and 20,987.02

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Solution

The third proportional to 9,753.33 and 20,987.02 is: 45,159.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,753.33 : 20,987.02 = 20,987.02 : x
  2. Step 2: Convert to fraction form
    9,753.33/20,987.02 = 20,987.02/x
  3. Step 3: Cross multiply
    9,753.33x = 20,987.02 × 20,987.02
  4. Step 4: Simplify right side
    9,753.33x = 440,454,824.84
  5. Step 5: Solve for x
    x = 440,454,824.84/9,753.33
  6. Step 6: Final answer
    x = 45,159.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.