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Finding the Third Proportional to 43,769 and 64,729

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Solution

The third proportional to 43,769 and 64,729 is: 95,726.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,769 : 64,729 = 64,729 : x
  2. Step 2: Convert to fraction form
    43,769/64,729 = 64,729/x
  3. Step 3: Cross multiply
    43,769x = 64,729 × 64,729
  4. Step 4: Simplify right side
    43,769x = 4,189,843,441
  5. Step 5: Solve for x
    x = 4,189,843,441/43,769
  6. Step 6: Final answer
    x = 95,726.28

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.