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Finding the Third Proportional to 26,098 and 57,044

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Solution

The third proportional to 26,098 and 57,044 is: 124,684.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,098 : 57,044 = 57,044 : x
  2. Step 2: Convert to fraction form
    26,098/57,044 = 57,044/x
  3. Step 3: Cross multiply
    26,098x = 57,044 × 57,044
  4. Step 4: Simplify right side
    26,098x = 3,254,017,936
  5. Step 5: Solve for x
    x = 3,254,017,936/26,098
  6. Step 6: Final answer
    x = 124,684.57

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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.