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Finding the Third Proportional to 8,921.39 and 14,125.64

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Solution

The third proportional to 8,921.39 and 14,125.64 is: 22,365.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,921.39 : 14,125.64 = 14,125.64 : x
  2. Step 2: Convert to fraction form
    8,921.39/14,125.64 = 14,125.64/x
  3. Step 3: Cross multiply
    8,921.39x = 14,125.64 × 14,125.64
  4. Step 4: Simplify right side
    8,921.39x = 199,533,723.07
  5. Step 5: Solve for x
    x = 199,533,723.07/8,921.39
  6. Step 6: Final answer
    x = 22,365.76

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.