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Finding the Third Proportional to 20,548.69 and 31,483.69

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Solution

The third proportional to 20,548.69 and 31,483.69 is: 48,237.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,548.69 : 31,483.69 = 31,483.69 : x
  2. Step 2: Convert to fraction form
    20,548.69/31,483.69 = 31,483.69/x
  3. Step 3: Cross multiply
    20,548.69x = 31,483.69 × 31,483.69
  4. Step 4: Simplify right side
    20,548.69x = 991,222,578.60
  5. Step 5: Solve for x
    x = 991,222,578.60/20,548.69
  6. Step 6: Final answer
    x = 48,237.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.