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Finding the Third Proportional to 14,264.44 and 31,444.88

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Solution

The third proportional to 14,264.44 and 31,444.88 is: 69,317.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,264.44 : 31,444.88 = 31,444.88 : x
  2. Step 2: Convert to fraction form
    14,264.44/31,444.88 = 31,444.88/x
  3. Step 3: Cross multiply
    14,264.44x = 31,444.88 × 31,444.88
  4. Step 4: Simplify right side
    14,264.44x = 988,780,163.77
  5. Step 5: Solve for x
    x = 988,780,163.77/14,264.44
  6. Step 6: Final answer
    x = 69,317.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.