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Finding the Third Proportional to 12,509 and 27,341

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Solution

The third proportional to 12,509 and 27,341 is: 59,759.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,509 : 27,341 = 27,341 : x
  2. Step 2: Convert to fraction form
    12,509/27,341 = 27,341/x
  3. Step 3: Cross multiply
    12,509x = 27,341 × 27,341
  4. Step 4: Simplify right side
    12,509x = 747,530,281
  5. Step 5: Solve for x
    x = 747,530,281/12,509
  6. Step 6: Final answer
    x = 59,759.40

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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.