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Finding the Third Proportional to 35,790.75 and 77,730.75

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Solution

The third proportional to 35,790.75 and 77,730.75 is: 168,816.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,790.75 : 77,730.75 = 77,730.75 : x
  2. Step 2: Convert to fraction form
    35,790.75/77,730.75 = 77,730.75/x
  3. Step 3: Cross multiply
    35,790.75x = 77,730.75 × 77,730.75
  4. Step 4: Simplify right side
    35,790.75x = 6,042,069,495.56
  5. Step 5: Solve for x
    x = 6,042,069,495.56/35,790.75
  6. Step 6: Final answer
    x = 168,816.51

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.