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Finding the Third Proportional to 27,200.81 and 40,960.69

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Solution

The third proportional to 27,200.81 and 40,960.69 is: 61,681.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,200.81 : 40,960.69 = 40,960.69 : x
  2. Step 2: Convert to fraction form
    27,200.81/40,960.69 = 40,960.69/x
  3. Step 3: Cross multiply
    27,200.81x = 40,960.69 × 40,960.69
  4. Step 4: Simplify right side
    27,200.81x = 1,677,777,920.47
  5. Step 5: Solve for x
    x = 1,677,777,920.47/27,200.81
  6. Step 6: Final answer
    x = 61,681.17

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.