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Finding the Third Proportional to 18,342 and 30,347.50

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Solution

The third proportional to 18,342 and 30,347.50 is: 50,211.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,342 : 30,347.50 = 30,347.50 : x
  2. Step 2: Convert to fraction form
    18,342/30,347.50 = 30,347.50/x
  3. Step 3: Cross multiply
    18,342x = 30,347.50 × 30,347.50
  4. Step 4: Simplify right side
    18,342x = 920,970,756.25
  5. Step 5: Solve for x
    x = 920,970,756.25/18,342
  6. Step 6: Final answer
    x = 50,211.03

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.