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Finding the Third Proportional to 14,775.75 and 31,626.75

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Solution

The third proportional to 14,775.75 and 31,626.75 is: 67,695.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,775.75 : 31,626.75 = 31,626.75 : x
  2. Step 2: Convert to fraction form
    14,775.75/31,626.75 = 31,626.75/x
  3. Step 3: Cross multiply
    14,775.75x = 31,626.75 × 31,626.75
  4. Step 4: Simplify right side
    14,775.75x = 1,000,251,315.56
  5. Step 5: Solve for x
    x = 1,000,251,315.56/14,775.75
  6. Step 6: Final answer
    x = 67,695.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.