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Finding the Third Proportional to 26,528 and 57,790

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Solution

The third proportional to 26,528 and 57,790 is: 125,892.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,528 : 57,790 = 57,790 : x
  2. Step 2: Convert to fraction form
    26,528/57,790 = 57,790/x
  3. Step 3: Cross multiply
    26,528x = 57,790 × 57,790
  4. Step 4: Simplify right side
    26,528x = 3,339,684,100
  5. Step 5: Solve for x
    x = 3,339,684,100/26,528
  6. Step 6: Final answer
    x = 125,892.80

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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.