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Finding the Third Proportional to 7,346.25 and 13,234.25

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Solution

The third proportional to 7,346.25 and 13,234.25 is: 23,841.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,346.25 : 13,234.25 = 13,234.25 : x
  2. Step 2: Convert to fraction form
    7,346.25/13,234.25 = 13,234.25/x
  3. Step 3: Cross multiply
    7,346.25x = 13,234.25 × 13,234.25
  4. Step 4: Simplify right side
    7,346.25x = 175,145,373.06
  5. Step 5: Solve for x
    x = 175,145,373.06/7,346.25
  6. Step 6: Final answer
    x = 23,841.47

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.