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Finding the Third Proportional to 22,953.38 and 49,406.63

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Solution

The third proportional to 22,953.38 and 49,406.63 is: 106,346.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,953.38 : 49,406.63 = 49,406.63 : x
  2. Step 2: Convert to fraction form
    22,953.38/49,406.63 = 49,406.63/x
  3. Step 3: Cross multiply
    22,953.38x = 49,406.63 × 49,406.63
  4. Step 4: Simplify right side
    22,953.38x = 2,441,014,593.89
  5. Step 5: Solve for x
    x = 2,441,014,593.89/22,953.38
  6. Step 6: Final answer
    x = 106,346.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.