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Finding the Third Proportional to 4,159.69 and 6,283.13

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Solution

The third proportional to 4,159.69 and 6,283.13 is: 9,490.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,159.69 : 6,283.13 = 6,283.13 : x
  2. Step 2: Convert to fraction form
    4,159.69/6,283.13 = 6,283.13/x
  3. Step 3: Cross multiply
    4,159.69x = 6,283.13 × 6,283.13
  4. Step 4: Simplify right side
    4,159.69x = 39,477,659.77
  5. Step 5: Solve for x
    x = 39,477,659.77/4,159.69
  6. Step 6: Final answer
    x = 9,490.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.