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Finding the Third Proportional to 27,135 and 30,523.50

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Solution

The third proportional to 27,135 and 30,523.50 is: 34,335.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,135 : 30,523.50 = 30,523.50 : x
  2. Step 2: Convert to fraction form
    27,135/30,523.50 = 30,523.50/x
  3. Step 3: Cross multiply
    27,135x = 30,523.50 × 30,523.50
  4. Step 4: Simplify right side
    27,135x = 931,684,052.25
  5. Step 5: Solve for x
    x = 931,684,052.25/27,135
  6. Step 6: Final answer
    x = 34,335.14

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.