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Finding the Third Proportional to 18,594 and 26,007

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Solution

The third proportional to 18,594 and 26,007 is: 36,375.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,594 : 26,007 = 26,007 : x
  2. Step 2: Convert to fraction form
    18,594/26,007 = 26,007/x
  3. Step 3: Cross multiply
    18,594x = 26,007 × 26,007
  4. Step 4: Simplify right side
    18,594x = 676,364,049
  5. Step 5: Solve for x
    x = 676,364,049/18,594
  6. Step 6: Final answer
    x = 36,375.39

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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.