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Finding the Third Proportional to 3,862.69 and 8,307.19

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Solution

The third proportional to 3,862.69 and 8,307.19 is: 17,865.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.69 : 8,307.19 = 8,307.19 : x
  2. Step 2: Convert to fraction form
    3,862.69/8,307.19 = 8,307.19/x
  3. Step 3: Cross multiply
    3,862.69x = 8,307.19 × 8,307.19
  4. Step 4: Simplify right side
    3,862.69x = 69,009,364.16
  5. Step 5: Solve for x
    x = 69,009,364.16/3,862.69
  6. Step 6: Final answer
    x = 17,865.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.