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Finding the Third Proportional to 26,970 and 58,858

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Solution

The third proportional to 26,970 and 58,858 is: 128,448.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,970 : 58,858 = 58,858 : x
  2. Step 2: Convert to fraction form
    26,970/58,858 = 58,858/x
  3. Step 3: Cross multiply
    26,970x = 58,858 × 58,858
  4. Step 4: Simplify right side
    26,970x = 3,464,264,164
  5. Step 5: Solve for x
    x = 3,464,264,164/26,970
  6. Step 6: Final answer
    x = 128,448.80

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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.