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Finding the Third Proportional to 26,165.81 and 57,222

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Solution

The third proportional to 26,165.81 and 57,222 is: 125,138.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,165.81 : 57,222 = 57,222 : x
  2. Step 2: Convert to fraction form
    26,165.81/57,222 = 57,222/x
  3. Step 3: Cross multiply
    26,165.81x = 57,222 × 57,222
  4. Step 4: Simplify right side
    26,165.81x = 3,274,357,284
  5. Step 5: Solve for x
    x = 3,274,357,284/26,165.81
  6. Step 6: Final answer
    x = 125,138.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.