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Finding the Third Proportional to 9,913.22 and 14,497.73

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Solution

The third proportional to 9,913.22 and 14,497.73 is: 21,202.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,913.22 : 14,497.73 = 14,497.73 : x
  2. Step 2: Convert to fraction form
    9,913.22/14,497.73 = 14,497.73/x
  3. Step 3: Cross multiply
    9,913.22x = 14,497.73 × 14,497.73
  4. Step 4: Simplify right side
    9,913.22x = 210,184,302.01
  5. Step 5: Solve for x
    x = 210,184,302.01/9,913.22
  6. Step 6: Final answer
    x = 21,202.43

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.