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Finding the Third Proportional to 14,772 and 31,862

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Solution

The third proportional to 14,772 and 31,862 is: 68,723.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,772 : 31,862 = 31,862 : x
  2. Step 2: Convert to fraction form
    14,772/31,862 = 31,862/x
  3. Step 3: Cross multiply
    14,772x = 31,862 × 31,862
  4. Step 4: Simplify right side
    14,772x = 1,015,187,044
  5. Step 5: Solve for x
    x = 1,015,187,044/14,772
  6. Step 6: Final answer
    x = 68,723.74

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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.