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Finding the Third Proportional to 29,414 and 64,276

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Solution

The third proportional to 29,414 and 64,276 is: 140,457.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,414 : 64,276 = 64,276 : x
  2. Step 2: Convert to fraction form
    29,414/64,276 = 64,276/x
  3. Step 3: Cross multiply
    29,414x = 64,276 × 64,276
  4. Step 4: Simplify right side
    29,414x = 4,131,404,176
  5. Step 5: Solve for x
    x = 4,131,404,176/29,414
  6. Step 6: Final answer
    x = 140,457.07

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Why These Related Problems?

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