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Finding the Third Proportional to 34,736.91 and 70,701.47

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Solution

The third proportional to 34,736.91 and 70,701.47 is: 143,901.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,736.91 : 70,701.47 = 70,701.47 : x
  2. Step 2: Convert to fraction form
    34,736.91/70,701.47 = 70,701.47/x
  3. Step 3: Cross multiply
    34,736.91x = 70,701.47 × 70,701.47
  4. Step 4: Simplify right side
    34,736.91x = 4,998,697,683.41
  5. Step 5: Solve for x
    x = 4,998,697,683.41/34,736.91
  6. Step 6: Final answer
    x = 143,901.64

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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.