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Finding the Third Proportional to 35,490.75 and 77,622.75

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Solution

The third proportional to 35,490.75 and 77,622.75 is: 169,770.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,490.75 : 77,622.75 = 77,622.75 : x
  2. Step 2: Convert to fraction form
    35,490.75/77,622.75 = 77,622.75/x
  3. Step 3: Cross multiply
    35,490.75x = 77,622.75 × 77,622.75
  4. Step 4: Simplify right side
    35,490.75x = 6,025,291,317.56
  5. Step 5: Solve for x
    x = 6,025,291,317.56/35,490.75
  6. Step 6: Final answer
    x = 169,770.75

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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.