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Finding the Third Proportional to 4,277.81 and 10,155.38

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Solution

The third proportional to 4,277.81 and 10,155.38 is: 24,108.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,277.81 : 10,155.38 = 10,155.38 : x
  2. Step 2: Convert to fraction form
    4,277.81/10,155.38 = 10,155.38/x
  3. Step 3: Cross multiply
    4,277.81x = 10,155.38 × 10,155.38
  4. Step 4: Simplify right side
    4,277.81x = 103,131,641.39
  5. Step 5: Solve for x
    x = 103,131,641.39/4,277.81
  6. Step 6: Final answer
    x = 24,108.50

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.