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Finding the Third Proportional to 20,061 and 31,046

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Solution

The third proportional to 20,061 and 31,046 is: 48,046.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,061 : 31,046 = 31,046 : x
  2. Step 2: Convert to fraction form
    20,061/31,046 = 31,046/x
  3. Step 3: Cross multiply
    20,061x = 31,046 × 31,046
  4. Step 4: Simplify right side
    20,061x = 963,854,116
  5. Step 5: Solve for x
    x = 963,854,116/20,061
  6. Step 6: Final answer
    x = 48,046.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.