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Finding the Third Proportional to 26,460 and 56,967

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Solution

The third proportional to 26,460 and 56,967 is: 122,646.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,460 : 56,967 = 56,967 : x
  2. Step 2: Convert to fraction form
    26,460/56,967 = 56,967/x
  3. Step 3: Cross multiply
    26,460x = 56,967 × 56,967
  4. Step 4: Simplify right side
    26,460x = 3,245,239,089
  5. Step 5: Solve for x
    x = 3,245,239,089/26,460
  6. Step 6: Final answer
    x = 122,646.98

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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.