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Finding the Third Proportional to 5,196.71 and 10,762.56

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Solution

The third proportional to 5,196.71 and 10,762.56 is: 22,289.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196.71 : 10,762.56 = 10,762.56 : x
  2. Step 2: Convert to fraction form
    5,196.71/10,762.56 = 10,762.56/x
  3. Step 3: Cross multiply
    5,196.71x = 10,762.56 × 10,762.56
  4. Step 4: Simplify right side
    5,196.71x = 115,832,667.48
  5. Step 5: Solve for x
    x = 115,832,667.48/5,196.71
  6. Step 6: Final answer
    x = 22,289.62

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.