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Finding the Third Proportional to 17,047.41 and 36,464.06

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Solution

The third proportional to 17,047.41 and 36,464.06 is: 77,995.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,047.41 : 36,464.06 = 36,464.06 : x
  2. Step 2: Convert to fraction form
    17,047.41/36,464.06 = 36,464.06/x
  3. Step 3: Cross multiply
    17,047.41x = 36,464.06 × 36,464.06
  4. Step 4: Simplify right side
    17,047.41x = 1,329,627,854.00
  5. Step 5: Solve for x
    x = 1,329,627,854.00/17,047.41
  6. Step 6: Final answer
    x = 77,995.90

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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.