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Finding the Third Proportional to 5,653 and 12,377

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Solution

The third proportional to 5,653 and 12,377 is: 27,098.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,653 : 12,377 = 12,377 : x
  2. Step 2: Convert to fraction form
    5,653/12,377 = 12,377/x
  3. Step 3: Cross multiply
    5,653x = 12,377 × 12,377
  4. Step 4: Simplify right side
    5,653x = 153,190,129
  5. Step 5: Solve for x
    x = 153,190,129/5,653
  6. Step 6: Final answer
    x = 27,098.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.