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Finding the Third Proportional to 57,026 and 76,791

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Solution

The third proportional to 57,026 and 76,791 is: 103,406.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,026 : 76,791 = 76,791 : x
  2. Step 2: Convert to fraction form
    57,026/76,791 = 76,791/x
  3. Step 3: Cross multiply
    57,026x = 76,791 × 76,791
  4. Step 4: Simplify right side
    57,026x = 5,896,857,681
  5. Step 5: Solve for x
    x = 5,896,857,681/57,026
  6. Step 6: Final answer
    x = 103,406.48

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.