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Finding the Third Proportional to 26,345 and 56,925

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Solution

The third proportional to 26,345 and 56,925 is: 123,000.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,345 : 56,925 = 56,925 : x
  2. Step 2: Convert to fraction form
    26,345/56,925 = 56,925/x
  3. Step 3: Cross multiply
    26,345x = 56,925 × 56,925
  4. Step 4: Simplify right side
    26,345x = 3,240,455,625
  5. Step 5: Solve for x
    x = 3,240,455,625/26,345
  6. Step 6: Final answer
    x = 123,000.78

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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.