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Finding the Third Proportional to 9,952.03 and 14,953.78

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Solution

The third proportional to 9,952.03 and 14,953.78 is: 22,469.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,952.03 : 14,953.78 = 14,953.78 : x
  2. Step 2: Convert to fraction form
    9,952.03/14,953.78 = 14,953.78/x
  3. Step 3: Cross multiply
    9,952.03x = 14,953.78 × 14,953.78
  4. Step 4: Simplify right side
    9,952.03x = 223,615,573.67
  5. Step 5: Solve for x
    x = 223,615,573.67/9,952.03
  6. Step 6: Final answer
    x = 22,469.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.