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Finding the Third Proportional to 27,027 and 40,432.50

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Solution

The third proportional to 27,027 and 40,432.50 is: 60,487.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,027 : 40,432.50 = 40,432.50 : x
  2. Step 2: Convert to fraction form
    27,027/40,432.50 = 40,432.50/x
  3. Step 3: Cross multiply
    27,027x = 40,432.50 × 40,432.50
  4. Step 4: Simplify right side
    27,027x = 1,634,787,056.25
  5. Step 5: Solve for x
    x = 1,634,787,056.25/27,027
  6. Step 6: Final answer
    x = 60,487.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.