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Finding the Third Proportional to 9,620.63 and 14,392.31

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Solution

The third proportional to 9,620.63 and 14,392.31 is: 21,530.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,620.63 : 14,392.31 = 14,392.31 : x
  2. Step 2: Convert to fraction form
    9,620.63/14,392.31 = 14,392.31/x
  3. Step 3: Cross multiply
    9,620.63x = 14,392.31 × 14,392.31
  4. Step 4: Simplify right side
    9,620.63x = 207,138,659.10
  5. Step 5: Solve for x
    x = 207,138,659.10/9,620.63
  6. Step 6: Final answer
    x = 21,530.69

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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.