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Finding the Third Proportional to 14,606 and 31,511

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Solution

The third proportional to 14,606 and 31,511 is: 67,981.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,606 : 31,511 = 31,511 : x
  2. Step 2: Convert to fraction form
    14,606/31,511 = 31,511/x
  3. Step 3: Cross multiply
    14,606x = 31,511 × 31,511
  4. Step 4: Simplify right side
    14,606x = 992,943,121
  5. Step 5: Solve for x
    x = 992,943,121/14,606
  6. Step 6: Final answer
    x = 67,981.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.