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Finding the Third Proportional to 4,916.95 and 10,709.09

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Solution

The third proportional to 4,916.95 and 10,709.09 is: 23,324.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,916.95 : 10,709.09 = 10,709.09 : x
  2. Step 2: Convert to fraction form
    4,916.95/10,709.09 = 10,709.09/x
  3. Step 3: Cross multiply
    4,916.95x = 10,709.09 × 10,709.09
  4. Step 4: Simplify right side
    4,916.95x = 114,684,521.62
  5. Step 5: Solve for x
    x = 114,684,521.62/4,916.95
  6. Step 6: Final answer
    x = 23,324.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.