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Finding the Third Proportional to 16,660 and 26,509

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Solution

The third proportional to 16,660 and 26,509 is: 42,180.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,660 : 26,509 = 26,509 : x
  2. Step 2: Convert to fraction form
    16,660/26,509 = 26,509/x
  3. Step 3: Cross multiply
    16,660x = 26,509 × 26,509
  4. Step 4: Simplify right side
    16,660x = 702,727,081
  5. Step 5: Solve for x
    x = 702,727,081/16,660
  6. Step 6: Final answer
    x = 42,180.50

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.