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Finding the Third Proportional to 17,046 and 36,521

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Solution

The third proportional to 17,046 and 36,521 is: 78,246.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,046 : 36,521 = 36,521 : x
  2. Step 2: Convert to fraction form
    17,046/36,521 = 36,521/x
  3. Step 3: Cross multiply
    17,046x = 36,521 × 36,521
  4. Step 4: Simplify right side
    17,046x = 1,333,783,441
  5. Step 5: Solve for x
    x = 1,333,783,441/17,046
  6. Step 6: Final answer
    x = 78,246.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.