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Finding the Third Proportional to 4,930.59 and 7,649.16

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Solution

The third proportional to 4,930.59 and 7,649.16 is: 11,866.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,930.59 : 7,649.16 = 7,649.16 : x
  2. Step 2: Convert to fraction form
    4,930.59/7,649.16 = 7,649.16/x
  3. Step 3: Cross multiply
    4,930.59x = 7,649.16 × 7,649.16
  4. Step 4: Simplify right side
    4,930.59x = 58,509,591.34
  5. Step 5: Solve for x
    x = 58,509,591.34/4,930.59
  6. Step 6: Final answer
    x = 11,866.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.