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Finding the Third Proportional to 17,023.29 and 35,686.83

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Solution

The third proportional to 17,023.29 and 35,686.83 is: 74,812.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,023.29 : 35,686.83 = 35,686.83 : x
  2. Step 2: Convert to fraction form
    17,023.29/35,686.83 = 35,686.83/x
  3. Step 3: Cross multiply
    17,023.29x = 35,686.83 × 35,686.83
  4. Step 4: Simplify right side
    17,023.29x = 1,273,549,701.62
  5. Step 5: Solve for x
    x = 1,273,549,701.62/17,023.29
  6. Step 6: Final answer
    x = 74,812.20

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.