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Finding the Third Proportional to 26,920 and 58,862

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Solution

The third proportional to 26,920 and 58,862 is: 128,704.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,920 : 58,862 = 58,862 : x
  2. Step 2: Convert to fraction form
    26,920/58,862 = 58,862/x
  3. Step 3: Cross multiply
    26,920x = 58,862 × 58,862
  4. Step 4: Simplify right side
    26,920x = 3,464,735,044
  5. Step 5: Solve for x
    x = 3,464,735,044/26,920
  6. Step 6: Final answer
    x = 128,704.87

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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.