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Finding the Third Proportional to 26,507 and 57,689

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Solution

The third proportional to 26,507 and 57,689 is: 125,552.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,507 : 57,689 = 57,689 : x
  2. Step 2: Convert to fraction form
    26,507/57,689 = 57,689/x
  3. Step 3: Cross multiply
    26,507x = 57,689 × 57,689
  4. Step 4: Simplify right side
    26,507x = 3,328,020,721
  5. Step 5: Solve for x
    x = 3,328,020,721/26,507
  6. Step 6: Final answer
    x = 125,552.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.