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Finding the Third Proportional to 4,530.62 and 9,924.08

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Solution

The third proportional to 4,530.62 and 9,924.08 is: 21,738.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,530.62 : 9,924.08 = 9,924.08 : x
  2. Step 2: Convert to fraction form
    4,530.62/9,924.08 = 9,924.08/x
  3. Step 3: Cross multiply
    4,530.62x = 9,924.08 × 9,924.08
  4. Step 4: Simplify right side
    4,530.62x = 98,487,404.16
  5. Step 5: Solve for x
    x = 98,487,404.16/4,530.62
  6. Step 6: Final answer
    x = 21,738.17

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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.