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Finding the Third Proportional to 9,882.84 and 21,276.84

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Solution

The third proportional to 9,882.84 and 21,276.84 is: 45,807.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,882.84 : 21,276.84 = 21,276.84 : x
  2. Step 2: Convert to fraction form
    9,882.84/21,276.84 = 21,276.84/x
  3. Step 3: Cross multiply
    9,882.84x = 21,276.84 × 21,276.84
  4. Step 4: Simplify right side
    9,882.84x = 452,704,079.96
  5. Step 5: Solve for x
    x = 452,704,079.96/9,882.84
  6. Step 6: Final answer
    x = 45,807.07

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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.