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Finding the Third Proportional to 3,307.97 and 4,702.03

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Solution

The third proportional to 3,307.97 and 4,702.03 is: 6,683.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,307.97 : 4,702.03 = 4,702.03 : x
  2. Step 2: Convert to fraction form
    3,307.97/4,702.03 = 4,702.03/x
  3. Step 3: Cross multiply
    3,307.97x = 4,702.03 × 4,702.03
  4. Step 4: Simplify right side
    3,307.97x = 22,109,097.88
  5. Step 5: Solve for x
    x = 22,109,097.88/3,307.97
  6. Step 6: Final answer
    x = 6,683.59

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.