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Finding the Third Proportional to 9,616.31 and 14,552.63

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Solution

The third proportional to 9,616.31 and 14,552.63 is: 22,022.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.31 : 14,552.63 = 14,552.63 : x
  2. Step 2: Convert to fraction form
    9,616.31/14,552.63 = 14,552.63/x
  3. Step 3: Cross multiply
    9,616.31x = 14,552.63 × 14,552.63
  4. Step 4: Simplify right side
    9,616.31x = 211,778,894.39
  5. Step 5: Solve for x
    x = 211,778,894.39/9,616.31
  6. Step 6: Final answer
    x = 22,022.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.