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Finding the Third Proportional to 20,316 and 31,050

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Solution

The third proportional to 20,316 and 31,050 is: 47,455.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,316 : 31,050 = 31,050 : x
  2. Step 2: Convert to fraction form
    20,316/31,050 = 31,050/x
  3. Step 3: Cross multiply
    20,316x = 31,050 × 31,050
  4. Step 4: Simplify right side
    20,316x = 964,102,500
  5. Step 5: Solve for x
    x = 964,102,500/20,316
  6. Step 6: Final answer
    x = 47,455.33

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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.