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Finding the Third Proportional to 14,397.75 and 22,211.44

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Solution

The third proportional to 14,397.75 and 22,211.44 is: 34,265.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,397.75 : 22,211.44 = 22,211.44 : x
  2. Step 2: Convert to fraction form
    14,397.75/22,211.44 = 22,211.44/x
  3. Step 3: Cross multiply
    14,397.75x = 22,211.44 × 22,211.44
  4. Step 4: Simplify right side
    14,397.75x = 493,347,955.82
  5. Step 5: Solve for x
    x = 493,347,955.82/14,397.75
  6. Step 6: Final answer
    x = 34,265.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.