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Finding the Third Proportional to 40,642 and 64,898

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Solution

The third proportional to 40,642 and 64,898 is: 103,630.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,642 : 64,898 = 64,898 : x
  2. Step 2: Convert to fraction form
    40,642/64,898 = 64,898/x
  3. Step 3: Cross multiply
    40,642x = 64,898 × 64,898
  4. Step 4: Simplify right side
    40,642x = 4,211,750,404
  5. Step 5: Solve for x
    x = 4,211,750,404/40,642
  6. Step 6: Final answer
    x = 103,630.49

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.