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Finding the Third Proportional to 7,236 and 13,464

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Solution

The third proportional to 7,236 and 13,464 is: 25,052.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,236 : 13,464 = 13,464 : x
  2. Step 2: Convert to fraction form
    7,236/13,464 = 13,464/x
  3. Step 3: Cross multiply
    7,236x = 13,464 × 13,464
  4. Step 4: Simplify right side
    7,236x = 181,279,296
  5. Step 5: Solve for x
    x = 181,279,296/7,236
  6. Step 6: Final answer
    x = 25,052.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.