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Finding the Third Proportional to 6,292.69 and 9,940.22

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Solution

The third proportional to 6,292.69 and 9,940.22 is: 15,702.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,292.69 : 9,940.22 = 9,940.22 : x
  2. Step 2: Convert to fraction form
    6,292.69/9,940.22 = 9,940.22/x
  3. Step 3: Cross multiply
    6,292.69x = 9,940.22 × 9,940.22
  4. Step 4: Simplify right side
    6,292.69x = 98,807,948.80
  5. Step 5: Solve for x
    x = 98,807,948.80/6,292.69
  6. Step 6: Final answer
    x = 15,702.03

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.