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Finding the Third Proportional to 18,084.50 and 26,420

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Solution

The third proportional to 18,084.50 and 26,420 is: 38,597.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,084.50 : 26,420 = 26,420 : x
  2. Step 2: Convert to fraction form
    18,084.50/26,420 = 26,420/x
  3. Step 3: Cross multiply
    18,084.50x = 26,420 × 26,420
  4. Step 4: Simplify right side
    18,084.50x = 698,016,400
  5. Step 5: Solve for x
    x = 698,016,400/18,084.50
  6. Step 6: Final answer
    x = 38,597.50

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.