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Finding the Third Proportional to 29,860 and 64,381

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Solution

The third proportional to 29,860 and 64,381 is: 138,811.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,860 : 64,381 = 64,381 : x
  2. Step 2: Convert to fraction form
    29,860/64,381 = 64,381/x
  3. Step 3: Cross multiply
    29,860x = 64,381 × 64,381
  4. Step 4: Simplify right side
    29,860x = 4,144,913,161
  5. Step 5: Solve for x
    x = 4,144,913,161/29,860
  6. Step 6: Final answer
    x = 138,811.56

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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.