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Finding the Third Proportional to 4,924.13 and 7,410.94

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Solution

The third proportional to 4,924.13 and 7,410.94 is: 11,153.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,924.13 : 7,410.94 = 7,410.94 : x
  2. Step 2: Convert to fraction form
    4,924.13/7,410.94 = 7,410.94/x
  3. Step 3: Cross multiply
    4,924.13x = 7,410.94 × 7,410.94
  4. Step 4: Simplify right side
    4,924.13x = 54,921,994.63
  5. Step 5: Solve for x
    x = 54,921,994.63/4,924.13
  6. Step 6: Final answer
    x = 11,153.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.