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Finding the Third Proportional to 35,185.31 and 71,803.13

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Solution

The third proportional to 35,185.31 and 71,803.13 is: 146,529.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,185.31 : 71,803.13 = 71,803.13 : x
  2. Step 2: Convert to fraction form
    35,185.31/71,803.13 = 71,803.13/x
  3. Step 3: Cross multiply
    35,185.31x = 71,803.13 × 71,803.13
  4. Step 4: Simplify right side
    35,185.31x = 5,155,688,759.77
  5. Step 5: Solve for x
    x = 5,155,688,759.77/35,185.31
  6. Step 6: Final answer
    x = 146,529.57

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.