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Finding the Third Proportional to 34,086.94 and 69,825.94

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Solution

The third proportional to 34,086.94 and 69,825.94 is: 143,036.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,086.94 : 69,825.94 = 69,825.94 : x
  2. Step 2: Convert to fraction form
    34,086.94/69,825.94 = 69,825.94/x
  3. Step 3: Cross multiply
    34,086.94x = 69,825.94 × 69,825.94
  4. Step 4: Simplify right side
    34,086.94x = 4,875,661,547.75
  5. Step 5: Solve for x
    x = 4,875,661,547.75/34,086.94
  6. Step 6: Final answer
    x = 143,036.07

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.