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Finding the Third Proportional to 17,534 and 39,458

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Solution

The third proportional to 17,534 and 39,458 is: 88,795.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,534 : 39,458 = 39,458 : x
  2. Step 2: Convert to fraction form
    17,534/39,458 = 39,458/x
  3. Step 3: Cross multiply
    17,534x = 39,458 × 39,458
  4. Step 4: Simplify right side
    17,534x = 1,556,933,764
  5. Step 5: Solve for x
    x = 1,556,933,764/17,534
  6. Step 6: Final answer
    x = 88,795.13

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.