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Finding the Third Proportional to 1,702.13 and 4,101.75

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Solution

The third proportional to 1,702.13 and 4,101.75 is: 9,884.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.13 : 4,101.75 = 4,101.75 : x
  2. Step 2: Convert to fraction form
    1,702.13/4,101.75 = 4,101.75/x
  3. Step 3: Cross multiply
    1,702.13x = 4,101.75 × 4,101.75
  4. Step 4: Simplify right side
    1,702.13x = 16,824,353.06
  5. Step 5: Solve for x
    x = 16,824,353.06/1,702.13
  6. Step 6: Final answer
    x = 9,884.32

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.