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Finding the Third Proportional to 26,215.31 and 56,580.19

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Solution

The third proportional to 26,215.31 and 56,580.19 is: 122,116.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,215.31 : 56,580.19 = 56,580.19 : x
  2. Step 2: Convert to fraction form
    26,215.31/56,580.19 = 56,580.19/x
  3. Step 3: Cross multiply
    26,215.31x = 56,580.19 × 56,580.19
  4. Step 4: Simplify right side
    26,215.31x = 3,201,317,617.54
  5. Step 5: Solve for x
    x = 3,201,317,617.54/26,215.31
  6. Step 6: Final answer
    x = 122,116.32

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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.