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Finding the Third Proportional to 10,287.84 and 15,363.84

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Solution

The third proportional to 10,287.84 and 15,363.84 is: 22,944.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,287.84 : 15,363.84 = 15,363.84 : x
  2. Step 2: Convert to fraction form
    10,287.84/15,363.84 = 15,363.84/x
  3. Step 3: Cross multiply
    10,287.84x = 15,363.84 × 15,363.84
  4. Step 4: Simplify right side
    10,287.84x = 236,047,694.77
  5. Step 5: Solve for x
    x = 236,047,694.77/10,287.84
  6. Step 6: Final answer
    x = 22,944.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.