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Finding the Third Proportional to 26,819 and 57,748

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Solution

The third proportional to 26,819 and 57,748 is: 124,345.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,819 : 57,748 = 57,748 : x
  2. Step 2: Convert to fraction form
    26,819/57,748 = 57,748/x
  3. Step 3: Cross multiply
    26,819x = 57,748 × 57,748
  4. Step 4: Simplify right side
    26,819x = 3,334,831,504
  5. Step 5: Solve for x
    x = 3,334,831,504/26,819
  6. Step 6: Final answer
    x = 124,345.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.