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Finding the Third Proportional to 26,784 and 58,674

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Solution

The third proportional to 26,784 and 58,674 is: 128,533.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,784 : 58,674 = 58,674 : x
  2. Step 2: Convert to fraction form
    26,784/58,674 = 58,674/x
  3. Step 3: Cross multiply
    26,784x = 58,674 × 58,674
  4. Step 4: Simplify right side
    26,784x = 3,442,638,276
  5. Step 5: Solve for x
    x = 3,442,638,276/26,784
  6. Step 6: Final answer
    x = 128,533.39

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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.