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Finding the Third Proportional to 27,072 and 40,726.13

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Solution

The third proportional to 27,072 and 40,726.13 is: 61,266.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,072 : 40,726.13 = 40,726.13 : x
  2. Step 2: Convert to fraction form
    27,072/40,726.13 = 40,726.13/x
  3. Step 3: Cross multiply
    27,072x = 40,726.13 × 40,726.13
  4. Step 4: Simplify right side
    27,072x = 1,658,617,257.52
  5. Step 5: Solve for x
    x = 1,658,617,257.52/27,072
  6. Step 6: Final answer
    x = 61,266.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.