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Finding the Third Proportional to 20,224.69 and 31,045.78

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Solution

The third proportional to 20,224.69 and 31,045.78 is: 47,656.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,224.69 : 31,045.78 = 31,045.78 : x
  2. Step 2: Convert to fraction form
    20,224.69/31,045.78 = 31,045.78/x
  3. Step 3: Cross multiply
    20,224.69x = 31,045.78 × 31,045.78
  4. Step 4: Simplify right side
    20,224.69x = 963,840,533.42
  5. Step 5: Solve for x
    x = 963,840,533.42/20,224.69
  6. Step 6: Final answer
    x = 47,656.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.