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Finding the Third Proportional to 26,937 and 58,518

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Solution

The third proportional to 26,937 and 58,518 is: 127,124.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,937 : 58,518 = 58,518 : x
  2. Step 2: Convert to fraction form
    26,937/58,518 = 58,518/x
  3. Step 3: Cross multiply
    26,937x = 58,518 × 58,518
  4. Step 4: Simplify right side
    26,937x = 3,424,356,324
  5. Step 5: Solve for x
    x = 3,424,356,324/26,937
  6. Step 6: Final answer
    x = 127,124.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.