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Finding the Third Proportional to 40,631 and 64,883

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Solution

The third proportional to 40,631 and 64,883 is: 103,610.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,631 : 64,883 = 64,883 : x
  2. Step 2: Convert to fraction form
    40,631/64,883 = 64,883/x
  3. Step 3: Cross multiply
    40,631x = 64,883 × 64,883
  4. Step 4: Simplify right side
    40,631x = 4,209,803,689
  5. Step 5: Solve for x
    x = 4,209,803,689/40,631
  6. Step 6: Final answer
    x = 103,610.63

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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.