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Finding the Third Proportional to 27,796 and 64,294

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Solution

The third proportional to 27,796 and 64,294 is: 148,716.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,796 : 64,294 = 64,294 : x
  2. Step 2: Convert to fraction form
    27,796/64,294 = 64,294/x
  3. Step 3: Cross multiply
    27,796x = 64,294 × 64,294
  4. Step 4: Simplify right side
    27,796x = 4,133,718,436
  5. Step 5: Solve for x
    x = 4,133,718,436/27,796
  6. Step 6: Final answer
    x = 148,716.31

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.