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Finding the Third Proportional to 7,301.25 and 9,902.25

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Solution

The third proportional to 7,301.25 and 9,902.25 is: 13,429.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,301.25 : 9,902.25 = 9,902.25 : x
  2. Step 2: Convert to fraction form
    7,301.25/9,902.25 = 9,902.25/x
  3. Step 3: Cross multiply
    7,301.25x = 9,902.25 × 9,902.25
  4. Step 4: Simplify right side
    7,301.25x = 98,054,555.06
  5. Step 5: Solve for x
    x = 98,054,555.06/7,301.25
  6. Step 6: Final answer
    x = 13,429.83

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.