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Finding the Third Proportional to 29,452.50 and 65,436

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Solution

The third proportional to 29,452.50 and 65,436 is: 145,382.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,452.50 : 65,436 = 65,436 : x
  2. Step 2: Convert to fraction form
    29,452.50/65,436 = 65,436/x
  3. Step 3: Cross multiply
    29,452.50x = 65,436 × 65,436
  4. Step 4: Simplify right side
    29,452.50x = 4,281,870,096
  5. Step 5: Solve for x
    x = 4,281,870,096/29,452.50
  6. Step 6: Final answer
    x = 145,382.23

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.