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Finding the Third Proportional to 29,648 and 64,448

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Solution

The third proportional to 29,648 and 64,448 is: 140,095.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,648 : 64,448 = 64,448 : x
  2. Step 2: Convert to fraction form
    29,648/64,448 = 64,448/x
  3. Step 3: Cross multiply
    29,648x = 64,448 × 64,448
  4. Step 4: Simplify right side
    29,648x = 4,153,544,704
  5. Step 5: Solve for x
    x = 4,153,544,704/29,648
  6. Step 6: Final answer
    x = 140,095.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.