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Finding the Third Proportional to 17,858.25 and 38,646

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Solution

The third proportional to 17,858.25 and 38,646 is: 83,631.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,858.25 : 38,646 = 38,646 : x
  2. Step 2: Convert to fraction form
    17,858.25/38,646 = 38,646/x
  3. Step 3: Cross multiply
    17,858.25x = 38,646 × 38,646
  4. Step 4: Simplify right side
    17,858.25x = 1,493,513,316
  5. Step 5: Solve for x
    x = 1,493,513,316/17,858.25
  6. Step 6: Final answer
    x = 83,631.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.