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Finding the Third Proportional to 12,937 and 26,833

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Solution

The third proportional to 12,937 and 26,833 is: 55,655.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,937 : 26,833 = 26,833 : x
  2. Step 2: Convert to fraction form
    12,937/26,833 = 26,833/x
  3. Step 3: Cross multiply
    12,937x = 26,833 × 26,833
  4. Step 4: Simplify right side
    12,937x = 720,009,889
  5. Step 5: Solve for x
    x = 720,009,889/12,937
  6. Step 6: Final answer
    x = 55,655.09

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.