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Finding the Third Proportional to 36,913 and 86,659

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Solution

The third proportional to 36,913 and 86,659 is: 203,445.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,913 : 86,659 = 86,659 : x
  2. Step 2: Convert to fraction form
    36,913/86,659 = 86,659/x
  3. Step 3: Cross multiply
    36,913x = 86,659 × 86,659
  4. Step 4: Simplify right side
    36,913x = 7,509,782,281
  5. Step 5: Solve for x
    x = 7,509,782,281/36,913
  6. Step 6: Final answer
    x = 203,445.46

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.