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Finding the Third Proportional to 12,264 and 26,416

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Solution

The third proportional to 12,264 and 26,416 is: 56,898.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,264 : 26,416 = 26,416 : x
  2. Step 2: Convert to fraction form
    12,264/26,416 = 26,416/x
  3. Step 3: Cross multiply
    12,264x = 26,416 × 26,416
  4. Step 4: Simplify right side
    12,264x = 697,805,056
  5. Step 5: Solve for x
    x = 697,805,056/12,264
  6. Step 6: Final answer
    x = 56,898.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.