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Finding the Third Proportional to 10,458.49 and 14,908.43

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Solution

The third proportional to 10,458.49 and 14,908.43 is: 21,251.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,458.49 : 14,908.43 = 14,908.43 : x
  2. Step 2: Convert to fraction form
    10,458.49/14,908.43 = 14,908.43/x
  3. Step 3: Cross multiply
    10,458.49x = 14,908.43 × 14,908.43
  4. Step 4: Simplify right side
    10,458.49x = 222,261,275.75
  5. Step 5: Solve for x
    x = 222,261,275.75/10,458.49
  6. Step 6: Final answer
    x = 21,251.75

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.