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Finding the Third Proportional to 4,876.66 and 10,493.51

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Solution

The third proportional to 4,876.66 and 10,493.51 is: 22,579.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,876.66 : 10,493.51 = 10,493.51 : x
  2. Step 2: Convert to fraction form
    4,876.66/10,493.51 = 10,493.51/x
  3. Step 3: Cross multiply
    4,876.66x = 10,493.51 × 10,493.51
  4. Step 4: Simplify right side
    4,876.66x = 110,113,706.21
  5. Step 5: Solve for x
    x = 110,113,706.21/4,876.66
  6. Step 6: Final answer
    x = 22,579.72

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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.