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Finding the Third Proportional to 12,144 and 26,460

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Solution

The third proportional to 12,144 and 26,460 is: 57,652.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,144 : 26,460 = 26,460 : x
  2. Step 2: Convert to fraction form
    12,144/26,460 = 26,460/x
  3. Step 3: Cross multiply
    12,144x = 26,460 × 26,460
  4. Step 4: Simplify right side
    12,144x = 700,131,600
  5. Step 5: Solve for x
    x = 700,131,600/12,144
  6. Step 6: Final answer
    x = 57,652.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.