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Finding the Third Proportional to 4,869.09 and 10,516.66

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Solution

The third proportional to 4,869.09 and 10,516.66 is: 22,714.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,869.09 : 10,516.66 = 10,516.66 : x
  2. Step 2: Convert to fraction form
    4,869.09/10,516.66 = 10,516.66/x
  3. Step 3: Cross multiply
    4,869.09x = 10,516.66 × 10,516.66
  4. Step 4: Simplify right side
    4,869.09x = 110,600,169.09
  5. Step 5: Solve for x
    x = 110,600,169.09/4,869.09
  6. Step 6: Final answer
    x = 22,714.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.