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Finding the Third Proportional to 34,435.13 and 70,687.69

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Solution

The third proportional to 34,435.13 and 70,687.69 is: 145,106.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,435.13 : 70,687.69 = 70,687.69 : x
  2. Step 2: Convert to fraction form
    34,435.13/70,687.69 = 70,687.69/x
  3. Step 3: Cross multiply
    34,435.13x = 70,687.69 × 70,687.69
  4. Step 4: Simplify right side
    34,435.13x = 4,996,749,164.10
  5. Step 5: Solve for x
    x = 4,996,749,164.10/34,435.13
  6. Step 6: Final answer
    x = 145,106.17

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.