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Finding the Third Proportional to 20,913.54 and 31,416.77

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Solution

The third proportional to 20,913.54 and 31,416.77 is: 47,194.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,913.54 : 31,416.77 = 31,416.77 : x
  2. Step 2: Convert to fraction form
    20,913.54/31,416.77 = 31,416.77/x
  3. Step 3: Cross multiply
    20,913.54x = 31,416.77 × 31,416.77
  4. Step 4: Simplify right side
    20,913.54x = 987,013,285.06
  5. Step 5: Solve for x
    x = 987,013,285.06/20,913.54
  6. Step 6: Final answer
    x = 47,194.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.