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Finding the Third Proportional to 3,124.69 and 4,618.69

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Solution

The third proportional to 3,124.69 and 4,618.69 is: 6,827.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,124.69 : 4,618.69 = 4,618.69 : x
  2. Step 2: Convert to fraction form
    3,124.69/4,618.69 = 4,618.69/x
  3. Step 3: Cross multiply
    3,124.69x = 4,618.69 × 4,618.69
  4. Step 4: Simplify right side
    3,124.69x = 21,332,274.22
  5. Step 5: Solve for x
    x = 21,332,274.22/3,124.69
  6. Step 6: Final answer
    x = 6,827.01

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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.