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Finding the Third Proportional to 6,750.84 and 12,036.09

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Solution

The third proportional to 6,750.84 and 12,036.09 is: 21,459.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,750.84 : 12,036.09 = 12,036.09 : x
  2. Step 2: Convert to fraction form
    6,750.84/12,036.09 = 12,036.09/x
  3. Step 3: Cross multiply
    6,750.84x = 12,036.09 × 12,036.09
  4. Step 4: Simplify right side
    6,750.84x = 144,867,552.76
  5. Step 5: Solve for x
    x = 144,867,552.76/6,750.84
  6. Step 6: Final answer
    x = 21,459.18

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.