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Finding the Third Proportional to 26,070 and 56,795

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Solution

The third proportional to 26,070 and 56,795 is: 123,731.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,070 : 56,795 = 56,795 : x
  2. Step 2: Convert to fraction form
    26,070/56,795 = 56,795/x
  3. Step 3: Cross multiply
    26,070x = 56,795 × 56,795
  4. Step 4: Simplify right side
    26,070x = 3,225,672,025
  5. Step 5: Solve for x
    x = 3,225,672,025/26,070
  6. Step 6: Final answer
    x = 123,731.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.