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Finding the Third Proportional to 41,683 and 64,550

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Solution

The third proportional to 41,683 and 64,550 is: 99,961.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,683 : 64,550 = 64,550 : x
  2. Step 2: Convert to fraction form
    41,683/64,550 = 64,550/x
  3. Step 3: Cross multiply
    41,683x = 64,550 × 64,550
  4. Step 4: Simplify right side
    41,683x = 4,166,702,500
  5. Step 5: Solve for x
    x = 4,166,702,500/41,683
  6. Step 6: Final answer
    x = 99,961.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.