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Finding the Third Proportional to 12,224 and 26,032

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Solution

The third proportional to 12,224 and 26,032 is: 55,437.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,224 : 26,032 = 26,032 : x
  2. Step 2: Convert to fraction form
    12,224/26,032 = 26,032/x
  3. Step 3: Cross multiply
    12,224x = 26,032 × 26,032
  4. Step 4: Simplify right side
    12,224x = 677,665,024
  5. Step 5: Solve for x
    x = 677,665,024/12,224
  6. Step 6: Final answer
    x = 55,437.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.