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Finding the Third Proportional to 7,927.88 and 18,781.88

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Solution

The third proportional to 7,927.88 and 18,781.88 is: 44,496.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,927.88 : 18,781.88 = 18,781.88 : x
  2. Step 2: Convert to fraction form
    7,927.88/18,781.88 = 18,781.88/x
  3. Step 3: Cross multiply
    7,927.88x = 18,781.88 × 18,781.88
  4. Step 4: Simplify right side
    7,927.88x = 352,758,828.52
  5. Step 5: Solve for x
    x = 352,758,828.52/7,927.88
  6. Step 6: Final answer
    x = 44,496.01

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.