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Finding the Third Proportional to 1,702.78 and 3,636.47

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Solution

The third proportional to 1,702.78 and 3,636.47 is: 7,766.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.78 : 3,636.47 = 3,636.47 : x
  2. Step 2: Convert to fraction form
    1,702.78/3,636.47 = 3,636.47/x
  3. Step 3: Cross multiply
    1,702.78x = 3,636.47 × 3,636.47
  4. Step 4: Simplify right side
    1,702.78x = 13,223,904.97
  5. Step 5: Solve for x
    x = 13,223,904.97/1,702.78
  6. Step 6: Final answer
    x = 7,766.06

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.