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Finding the Third Proportional to 32,718.94 and 67,867.88

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Solution

The third proportional to 32,718.94 and 67,867.88 is: 140,776.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,718.94 : 67,867.88 = 67,867.88 : x
  2. Step 2: Convert to fraction form
    32,718.94/67,867.88 = 67,867.88/x
  3. Step 3: Cross multiply
    32,718.94x = 67,867.88 × 67,867.88
  4. Step 4: Simplify right side
    32,718.94x = 4,606,048,457.02
  5. Step 5: Solve for x
    x = 4,606,048,457.02/32,718.94
  6. Step 6: Final answer
    x = 140,776.22

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.