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Finding the Third Proportional to 4,754.96 and 10,225.93

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Solution

The third proportional to 4,754.96 and 10,225.93 is: 21,991.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,754.96 : 10,225.93 = 10,225.93 : x
  2. Step 2: Convert to fraction form
    4,754.96/10,225.93 = 10,225.93/x
  3. Step 3: Cross multiply
    4,754.96x = 10,225.93 × 10,225.93
  4. Step 4: Simplify right side
    4,754.96x = 104,569,717.86
  5. Step 5: Solve for x
    x = 104,569,717.86/4,754.96
  6. Step 6: Final answer
    x = 21,991.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.