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Finding the Third Proportional to 4,923.25 and 7,240.88

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Solution

The third proportional to 4,923.25 and 7,240.88 is: 10,649.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,923.25 : 7,240.88 = 7,240.88 : x
  2. Step 2: Convert to fraction form
    4,923.25/7,240.88 = 7,240.88/x
  3. Step 3: Cross multiply
    4,923.25x = 7,240.88 × 7,240.88
  4. Step 4: Simplify right side
    4,923.25x = 52,430,270.77
  5. Step 5: Solve for x
    x = 52,430,270.77/4,923.25
  6. Step 6: Final answer
    x = 10,649.52

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.