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Finding the Third Proportional to 29,440 and 64,244

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Solution

The third proportional to 29,440 and 64,244 is: 140,193.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,440 : 64,244 = 64,244 : x
  2. Step 2: Convert to fraction form
    29,440/64,244 = 64,244/x
  3. Step 3: Cross multiply
    29,440x = 64,244 × 64,244
  4. Step 4: Simplify right side
    29,440x = 4,127,291,536
  5. Step 5: Solve for x
    x = 4,127,291,536/29,440
  6. Step 6: Final answer
    x = 140,193.33

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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.