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Finding the Third Proportional to 30,244 and 64,376

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Solution

The third proportional to 30,244 and 64,376 is: 137,027.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,244 : 64,376 = 64,376 : x
  2. Step 2: Convert to fraction form
    30,244/64,376 = 64,376/x
  3. Step 3: Cross multiply
    30,244x = 64,376 × 64,376
  4. Step 4: Simplify right side
    30,244x = 4,144,269,376
  5. Step 5: Solve for x
    x = 4,144,269,376/30,244
  6. Step 6: Final answer
    x = 137,027.82

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.