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Finding the Third Proportional to 4,897.26 and 7,230.20

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Solution

The third proportional to 4,897.26 and 7,230.20 is: 10,674.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,897.26 : 7,230.20 = 7,230.20 : x
  2. Step 2: Convert to fraction form
    4,897.26/7,230.20 = 7,230.20/x
  3. Step 3: Cross multiply
    4,897.26x = 7,230.20 × 7,230.20
  4. Step 4: Simplify right side
    4,897.26x = 52,275,780.74
  5. Step 5: Solve for x
    x = 52,275,780.74/4,897.26
  6. Step 6: Final answer
    x = 10,674.50

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.