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Finding the Third Proportional to 12,576.50 and 26,377

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Solution

The third proportional to 12,576.50 and 26,377 is: 55,321.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,576.50 : 26,377 = 26,377 : x
  2. Step 2: Convert to fraction form
    12,576.50/26,377 = 26,377/x
  3. Step 3: Cross multiply
    12,576.50x = 26,377 × 26,377
  4. Step 4: Simplify right side
    12,576.50x = 695,746,129
  5. Step 5: Solve for x
    x = 695,746,129/12,576.50
  6. Step 6: Final answer
    x = 55,321.13

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.