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Finding the Third Proportional to 26,854 and 59,020

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Solution

The third proportional to 26,854 and 59,020 is: 129,714.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,854 : 59,020 = 59,020 : x
  2. Step 2: Convert to fraction form
    26,854/59,020 = 59,020/x
  3. Step 3: Cross multiply
    26,854x = 59,020 × 59,020
  4. Step 4: Simplify right side
    26,854x = 3,483,360,400
  5. Step 5: Solve for x
    x = 3,483,360,400/26,854
  6. Step 6: Final answer
    x = 129,714.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.