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Finding the Third Proportional to 19,905 and 31,068

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Solution

The third proportional to 19,905 and 31,068 is: 48,491.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,905 : 31,068 = 31,068 : x
  2. Step 2: Convert to fraction form
    19,905/31,068 = 31,068/x
  3. Step 3: Cross multiply
    19,905x = 31,068 × 31,068
  4. Step 4: Simplify right side
    19,905x = 965,220,624
  5. Step 5: Solve for x
    x = 965,220,624/19,905
  6. Step 6: Final answer
    x = 48,491.37

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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.