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Finding the Third Proportional to 26,297 and 56,603

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Solution

The third proportional to 26,297 and 56,603 is: 121,835.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,297 : 56,603 = 56,603 : x
  2. Step 2: Convert to fraction form
    26,297/56,603 = 56,603/x
  3. Step 3: Cross multiply
    26,297x = 56,603 × 56,603
  4. Step 4: Simplify right side
    26,297x = 3,203,899,609
  5. Step 5: Solve for x
    x = 3,203,899,609/26,297
  6. Step 6: Final answer
    x = 121,835.18

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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.