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Finding the Third Proportional to 26,650 and 57,458

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Solution

The third proportional to 26,650 and 57,458 is: 123,880.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,650 : 57,458 = 57,458 : x
  2. Step 2: Convert to fraction form
    26,650/57,458 = 57,458/x
  3. Step 3: Cross multiply
    26,650x = 57,458 × 57,458
  4. Step 4: Simplify right side
    26,650x = 3,301,421,764
  5. Step 5: Solve for x
    x = 3,301,421,764/26,650
  6. Step 6: Final answer
    x = 123,880.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.