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Finding the Third Proportional to 13,024 and 25,400

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Solution

The third proportional to 13,024 and 25,400 is: 49,536.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,024 : 25,400 = 25,400 : x
  2. Step 2: Convert to fraction form
    13,024/25,400 = 25,400/x
  3. Step 3: Cross multiply
    13,024x = 25,400 × 25,400
  4. Step 4: Simplify right side
    13,024x = 645,160,000
  5. Step 5: Solve for x
    x = 645,160,000/13,024
  6. Step 6: Final answer
    x = 49,536.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.