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Finding the Third Proportional to 17,868 and 39,068.25

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Solution

The third proportional to 17,868 and 39,068.25 is: 85,422.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,868 : 39,068.25 = 39,068.25 : x
  2. Step 2: Convert to fraction form
    17,868/39,068.25 = 39,068.25/x
  3. Step 3: Cross multiply
    17,868x = 39,068.25 × 39,068.25
  4. Step 4: Simplify right side
    17,868x = 1,526,328,158.06
  5. Step 5: Solve for x
    x = 1,526,328,158.06/17,868
  6. Step 6: Final answer
    x = 85,422.44

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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.