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Finding the Third Proportional to 29,483 and 64,447

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Solution

The third proportional to 29,483 and 64,447 is: 140,874.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,483 : 64,447 = 64,447 : x
  2. Step 2: Convert to fraction form
    29,483/64,447 = 64,447/x
  3. Step 3: Cross multiply
    29,483x = 64,447 × 64,447
  4. Step 4: Simplify right side
    29,483x = 4,153,415,809
  5. Step 5: Solve for x
    x = 4,153,415,809/29,483
  6. Step 6: Final answer
    x = 140,874.94

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.