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Finding the Third Proportional to 8,313.89 and 19,227.06

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Solution

The third proportional to 8,313.89 and 19,227.06 is: 44,465.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,313.89 : 19,227.06 = 19,227.06 : x
  2. Step 2: Convert to fraction form
    8,313.89/19,227.06 = 19,227.06/x
  3. Step 3: Cross multiply
    8,313.89x = 19,227.06 × 19,227.06
  4. Step 4: Simplify right side
    8,313.89x = 369,679,782.17
  5. Step 5: Solve for x
    x = 369,679,782.17/8,313.89
  6. Step 6: Final answer
    x = 44,465.32

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.