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Finding the Third Proportional to 26,022 and 61,359

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Solution

The third proportional to 26,022 and 61,359 is: 144,682.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,022 : 61,359 = 61,359 : x
  2. Step 2: Convert to fraction form
    26,022/61,359 = 61,359/x
  3. Step 3: Cross multiply
    26,022x = 61,359 × 61,359
  4. Step 4: Simplify right side
    26,022x = 3,764,926,881
  5. Step 5: Solve for x
    x = 3,764,926,881/26,022
  6. Step 6: Final answer
    x = 144,682.46

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.