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Finding the Third Proportional to 14,704 and 31,765

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Solution

The third proportional to 14,704 and 31,765 is: 68,621.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,704 : 31,765 = 31,765 : x
  2. Step 2: Convert to fraction form
    14,704/31,765 = 31,765/x
  3. Step 3: Cross multiply
    14,704x = 31,765 × 31,765
  4. Step 4: Simplify right side
    14,704x = 1,009,015,225
  5. Step 5: Solve for x
    x = 1,009,015,225/14,704
  6. Step 6: Final answer
    x = 68,621.82

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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.