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Finding the Third Proportional to 10,546 and 16,458

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Solution

The third proportional to 10,546 and 16,458 is: 25,684.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,546 : 16,458 = 16,458 : x
  2. Step 2: Convert to fraction form
    10,546/16,458 = 16,458/x
  3. Step 3: Cross multiply
    10,546x = 16,458 × 16,458
  4. Step 4: Simplify right side
    10,546x = 270,865,764
  5. Step 5: Solve for x
    x = 270,865,764/10,546
  6. Step 6: Final answer
    x = 25,684.22

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.