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Finding the Third Proportional to 16,592 and 26,760

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Solution

The third proportional to 16,592 and 26,760 is: 43,159.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,592 : 26,760 = 26,760 : x
  2. Step 2: Convert to fraction form
    16,592/26,760 = 26,760/x
  3. Step 3: Cross multiply
    16,592x = 26,760 × 26,760
  4. Step 4: Simplify right side
    16,592x = 716,097,600
  5. Step 5: Solve for x
    x = 716,097,600/16,592
  6. Step 6: Final answer
    x = 43,159.21

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.