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Finding the Third Proportional to 29,424 and 64,086

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Solution

The third proportional to 29,424 and 64,086 is: 139,580.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,424 : 64,086 = 64,086 : x
  2. Step 2: Convert to fraction form
    29,424/64,086 = 64,086/x
  3. Step 3: Cross multiply
    29,424x = 64,086 × 64,086
  4. Step 4: Simplify right side
    29,424x = 4,107,015,396
  5. Step 5: Solve for x
    x = 4,107,015,396/29,424
  6. Step 6: Final answer
    x = 139,580.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.