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Finding the Third Proportional to 10,155 and 22,037.25

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Solution

The third proportional to 10,155 and 22,037.25 is: 47,822.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,155 : 22,037.25 = 22,037.25 : x
  2. Step 2: Convert to fraction form
    10,155/22,037.25 = 22,037.25/x
  3. Step 3: Cross multiply
    10,155x = 22,037.25 × 22,037.25
  4. Step 4: Simplify right side
    10,155x = 485,640,387.56
  5. Step 5: Solve for x
    x = 485,640,387.56/10,155
  6. Step 6: Final answer
    x = 47,822.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.