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Finding the Third Proportional to 26,422 and 55,570

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Solution

The third proportional to 26,422 and 55,570 is: 116,873.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,422 : 55,570 = 55,570 : x
  2. Step 2: Convert to fraction form
    26,422/55,570 = 55,570/x
  3. Step 3: Cross multiply
    26,422x = 55,570 × 55,570
  4. Step 4: Simplify right side
    26,422x = 3,088,024,900
  5. Step 5: Solve for x
    x = 3,088,024,900/26,422
  6. Step 6: Final answer
    x = 116,873.25

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.