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Finding the Third Proportional to 34,688.25 and 49,568.63

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Solution

The third proportional to 34,688.25 and 49,568.63 is: 70,832.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,688.25 : 49,568.63 = 49,568.63 : x
  2. Step 2: Convert to fraction form
    34,688.25/49,568.63 = 49,568.63/x
  3. Step 3: Cross multiply
    34,688.25x = 49,568.63 × 49,568.63
  4. Step 4: Simplify right side
    34,688.25x = 2,457,048,584.39
  5. Step 5: Solve for x
    x = 2,457,048,584.39/34,688.25
  6. Step 6: Final answer
    x = 70,832.30

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.