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Finding the Third Proportional to 35,510.06 and 75,399.19

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Solution

The third proportional to 35,510.06 and 75,399.19 is: 160,096.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,510.06 : 75,399.19 = 75,399.19 : x
  2. Step 2: Convert to fraction form
    35,510.06/75,399.19 = 75,399.19/x
  3. Step 3: Cross multiply
    35,510.06x = 75,399.19 × 75,399.19
  4. Step 4: Simplify right side
    35,510.06x = 5,685,037,475.66
  5. Step 5: Solve for x
    x = 5,685,037,475.66/35,510.06
  6. Step 6: Final answer
    x = 160,096.52

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.