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Finding the Third Proportional to 1,702.69 and 3,722.91

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Solution

The third proportional to 1,702.69 and 3,722.91 is: 8,140.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.69 : 3,722.91 = 3,722.91 : x
  2. Step 2: Convert to fraction form
    1,702.69/3,722.91 = 3,722.91/x
  3. Step 3: Cross multiply
    1,702.69x = 3,722.91 × 3,722.91
  4. Step 4: Simplify right side
    1,702.69x = 13,860,030.95
  5. Step 5: Solve for x
    x = 13,860,030.95/1,702.69
  6. Step 6: Final answer
    x = 8,140.09

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.