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Finding the Third Proportional to 4,892.06 and 10,391.63

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Solution

The third proportional to 4,892.06 and 10,391.63 is: 22,073.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,892.06 : 10,391.63 = 10,391.63 : x
  2. Step 2: Convert to fraction form
    4,892.06/10,391.63 = 10,391.63/x
  3. Step 3: Cross multiply
    4,892.06x = 10,391.63 × 10,391.63
  4. Step 4: Simplify right side
    4,892.06x = 107,985,870.14
  5. Step 5: Solve for x
    x = 107,985,870.14/4,892.06
  6. Step 6: Final answer
    x = 22,073.69

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.