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Finding the Third Proportional to 18,592 and 26,008

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Solution

The third proportional to 18,592 and 26,008 is: 36,382.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,592 : 26,008 = 26,008 : x
  2. Step 2: Convert to fraction form
    18,592/26,008 = 26,008/x
  3. Step 3: Cross multiply
    18,592x = 26,008 × 26,008
  4. Step 4: Simplify right side
    18,592x = 676,416,064
  5. Step 5: Solve for x
    x = 676,416,064/18,592
  6. Step 6: Final answer
    x = 36,382.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.