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Finding the Third Proportional to 26,294 and 56,827

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Solution

The third proportional to 26,294 and 56,827 is: 122,815.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,294 : 56,827 = 56,827 : x
  2. Step 2: Convert to fraction form
    26,294/56,827 = 56,827/x
  3. Step 3: Cross multiply
    26,294x = 56,827 × 56,827
  4. Step 4: Simplify right side
    26,294x = 3,229,307,929
  5. Step 5: Solve for x
    x = 3,229,307,929/26,294
  6. Step 6: Final answer
    x = 122,815.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.