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Finding the Third Proportional to 36,835 and 80,417

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Solution

The third proportional to 36,835 and 80,417 is: 175,563.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,835 : 80,417 = 80,417 : x
  2. Step 2: Convert to fraction form
    36,835/80,417 = 80,417/x
  3. Step 3: Cross multiply
    36,835x = 80,417 × 80,417
  4. Step 4: Simplify right side
    36,835x = 6,466,893,889
  5. Step 5: Solve for x
    x = 6,466,893,889/36,835
  6. Step 6: Final answer
    x = 175,563.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.