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Finding the Third Proportional to 4,530.62 and 9,981.04

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Solution

The third proportional to 4,530.62 and 9,981.04 is: 21,988.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,530.62 : 9,981.04 = 9,981.04 : x
  2. Step 2: Convert to fraction form
    4,530.62/9,981.04 = 9,981.04/x
  3. Step 3: Cross multiply
    4,530.62x = 9,981.04 × 9,981.04
  4. Step 4: Simplify right side
    4,530.62x = 99,621,062.79
  5. Step 5: Solve for x
    x = 99,621,062.79/4,530.62
  6. Step 6: Final answer
    x = 21,988.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.