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Finding the Third Proportional to 38,026.13 and 54,768.38

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Solution

The third proportional to 38,026.13 and 54,768.38 is: 78,881.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,026.13 : 54,768.38 = 54,768.38 : x
  2. Step 2: Convert to fraction form
    38,026.13/54,768.38 = 54,768.38/x
  3. Step 3: Cross multiply
    38,026.13x = 54,768.38 × 54,768.38
  4. Step 4: Simplify right side
    38,026.13x = 2,999,574,900.14
  5. Step 5: Solve for x
    x = 2,999,574,900.14/38,026.13
  6. Step 6: Final answer
    x = 78,881.95

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.