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Finding the Third Proportional to 57,324 and 76,452

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Solution

The third proportional to 57,324 and 76,452 is: 101,962.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,324 : 76,452 = 76,452 : x
  2. Step 2: Convert to fraction form
    57,324/76,452 = 76,452/x
  3. Step 3: Cross multiply
    57,324x = 76,452 × 76,452
  4. Step 4: Simplify right side
    57,324x = 5,844,908,304
  5. Step 5: Solve for x
    x = 5,844,908,304/57,324
  6. Step 6: Final answer
    x = 101,962.67

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.