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Finding the Third Proportional to 4,500 and 9,864

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Solution

The third proportional to 4,500 and 9,864 is: 21,621.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,500 : 9,864 = 9,864 : x
  2. Step 2: Convert to fraction form
    4,500/9,864 = 9,864/x
  3. Step 3: Cross multiply
    4,500x = 9,864 × 9,864
  4. Step 4: Simplify right side
    4,500x = 97,298,496
  5. Step 5: Solve for x
    x = 97,298,496/4,500
  6. Step 6: Final answer
    x = 21,621.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.