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Finding the Third Proportional to 7,962.05 and 17,439.05

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Solution

The third proportional to 7,962.05 and 17,439.05 is: 38,196.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,962.05 : 17,439.05 = 17,439.05 : x
  2. Step 2: Convert to fraction form
    7,962.05/17,439.05 = 17,439.05/x
  3. Step 3: Cross multiply
    7,962.05x = 17,439.05 × 17,439.05
  4. Step 4: Simplify right side
    7,962.05x = 304,120,355.91
  5. Step 5: Solve for x
    x = 304,120,355.91/7,962.05
  6. Step 6: Final answer
    x = 38,196.25

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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.