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Finding the Third Proportional to 38,617 and 84,614

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Solution

The third proportional to 38,617 and 84,614 is: 185,398.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,617 : 84,614 = 84,614 : x
  2. Step 2: Convert to fraction form
    38,617/84,614 = 84,614/x
  3. Step 3: Cross multiply
    38,617x = 84,614 × 84,614
  4. Step 4: Simplify right side
    38,617x = 7,159,528,996
  5. Step 5: Solve for x
    x = 7,159,528,996/38,617
  6. Step 6: Final answer
    x = 185,398.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.