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Finding the Third Proportional to 27,264.94 and 39,998.53

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Solution

The third proportional to 27,264.94 and 39,998.53 is: 58,679.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,264.94 : 39,998.53 = 39,998.53 : x
  2. Step 2: Convert to fraction form
    27,264.94/39,998.53 = 39,998.53/x
  3. Step 3: Cross multiply
    27,264.94x = 39,998.53 × 39,998.53
  4. Step 4: Simplify right side
    27,264.94x = 1,599,882,502.16
  5. Step 5: Solve for x
    x = 1,599,882,502.16/27,264.94
  6. Step 6: Final answer
    x = 58,679.12

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.