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Finding the Third Proportional to 38,546 and 83,643

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Solution

The third proportional to 38,546 and 83,643 is: 181,501.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,546 : 83,643 = 83,643 : x
  2. Step 2: Convert to fraction form
    38,546/83,643 = 83,643/x
  3. Step 3: Cross multiply
    38,546x = 83,643 × 83,643
  4. Step 4: Simplify right side
    38,546x = 6,996,151,449
  5. Step 5: Solve for x
    x = 6,996,151,449/38,546
  6. Step 6: Final answer
    x = 181,501.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.