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Finding the Third Proportional to 12,416 and 26,554

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Solution

The third proportional to 12,416 and 26,554 is: 56,790.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,416 : 26,554 = 26,554 : x
  2. Step 2: Convert to fraction form
    12,416/26,554 = 26,554/x
  3. Step 3: Cross multiply
    12,416x = 26,554 × 26,554
  4. Step 4: Simplify right side
    12,416x = 705,114,916
  5. Step 5: Solve for x
    x = 705,114,916/12,416
  6. Step 6: Final answer
    x = 56,790.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.