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Finding the Third Proportional to 20,472 and 31,014

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Solution

The third proportional to 20,472 and 31,014 is: 46,984.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,472 : 31,014 = 31,014 : x
  2. Step 2: Convert to fraction form
    20,472/31,014 = 31,014/x
  3. Step 3: Cross multiply
    20,472x = 31,014 × 31,014
  4. Step 4: Simplify right side
    20,472x = 961,868,196
  5. Step 5: Solve for x
    x = 961,868,196/20,472
  6. Step 6: Final answer
    x = 46,984.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.