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Finding the Third Proportional to 26,310 and 56,996

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Solution

The third proportional to 26,310 and 56,996 is: 123,471.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,310 : 56,996 = 56,996 : x
  2. Step 2: Convert to fraction form
    26,310/56,996 = 56,996/x
  3. Step 3: Cross multiply
    26,310x = 56,996 × 56,996
  4. Step 4: Simplify right side
    26,310x = 3,248,544,016
  5. Step 5: Solve for x
    x = 3,248,544,016/26,310
  6. Step 6: Final answer
    x = 123,471.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.