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Finding the Third Proportional to 35,007.75 and 76,818.38

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Solution

The third proportional to 35,007.75 and 76,818.38 is: 168,564.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,007.75 : 76,818.38 = 76,818.38 : x
  2. Step 2: Convert to fraction form
    35,007.75/76,818.38 = 76,818.38/x
  3. Step 3: Cross multiply
    35,007.75x = 76,818.38 × 76,818.38
  4. Step 4: Simplify right side
    35,007.75x = 5,901,062,737.64
  5. Step 5: Solve for x
    x = 5,901,062,737.64/35,007.75
  6. Step 6: Final answer
    x = 168,564.47

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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.