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Finding the Third Proportional to 29,849 and 64,360

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Solution

The third proportional to 29,849 and 64,360 is: 138,772.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,849 : 64,360 = 64,360 : x
  2. Step 2: Convert to fraction form
    29,849/64,360 = 64,360/x
  3. Step 3: Cross multiply
    29,849x = 64,360 × 64,360
  4. Step 4: Simplify right side
    29,849x = 4,142,209,600
  5. Step 5: Solve for x
    x = 4,142,209,600/29,849
  6. Step 6: Final answer
    x = 138,772.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.