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Finding the Third Proportional to 17,113.78 and 36,646.17

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Solution

The third proportional to 17,113.78 and 36,646.17 is: 78,471.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,113.78 : 36,646.17 = 36,646.17 : x
  2. Step 2: Convert to fraction form
    17,113.78/36,646.17 = 36,646.17/x
  3. Step 3: Cross multiply
    17,113.78x = 36,646.17 × 36,646.17
  4. Step 4: Simplify right side
    17,113.78x = 1,342,941,913.09
  5. Step 5: Solve for x
    x = 1,342,941,913.09/17,113.78
  6. Step 6: Final answer
    x = 78,471.37

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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.