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Finding the Third Proportional to 20,044 and 31,182

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Solution

The third proportional to 20,044 and 31,182 is: 48,509.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,044 : 31,182 = 31,182 : x
  2. Step 2: Convert to fraction form
    20,044/31,182 = 31,182/x
  3. Step 3: Cross multiply
    20,044x = 31,182 × 31,182
  4. Step 4: Simplify right side
    20,044x = 972,317,124
  5. Step 5: Solve for x
    x = 972,317,124/20,044
  6. Step 6: Final answer
    x = 48,509.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.