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Finding the Third Proportional to 21,222 and 31,212

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Solution

The third proportional to 21,222 and 31,212 is: 45,904.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,222 : 31,212 = 31,212 : x
  2. Step 2: Convert to fraction form
    21,222/31,212 = 31,212/x
  3. Step 3: Cross multiply
    21,222x = 31,212 × 31,212
  4. Step 4: Simplify right side
    21,222x = 974,188,944
  5. Step 5: Solve for x
    x = 974,188,944/21,222
  6. Step 6: Final answer
    x = 45,904.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.