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Finding the Third Proportional to 20,196 and 31,000.50

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Solution

The third proportional to 20,196 and 31,000.50 is: 47,585.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,196 : 31,000.50 = 31,000.50 : x
  2. Step 2: Convert to fraction form
    20,196/31,000.50 = 31,000.50/x
  3. Step 3: Cross multiply
    20,196x = 31,000.50 × 31,000.50
  4. Step 4: Simplify right side
    20,196x = 961,031,000.25
  5. Step 5: Solve for x
    x = 961,031,000.25/20,196
  6. Step 6: Final answer
    x = 47,585.21

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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.