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Finding the Third Proportional to 41,440 and 64,642

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Solution

The third proportional to 41,440 and 64,642 is: 100,834.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,440 : 64,642 = 64,642 : x
  2. Step 2: Convert to fraction form
    41,440/64,642 = 64,642/x
  3. Step 3: Cross multiply
    41,440x = 64,642 × 64,642
  4. Step 4: Simplify right side
    41,440x = 4,178,588,164
  5. Step 5: Solve for x
    x = 4,178,588,164/41,440
  6. Step 6: Final answer
    x = 100,834.66

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.