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Finding the Third Proportional to 26,370 and 39,510

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Solution

The third proportional to 26,370 and 39,510 is: 59,197.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,370 : 39,510 = 39,510 : x
  2. Step 2: Convert to fraction form
    26,370/39,510 = 39,510/x
  3. Step 3: Cross multiply
    26,370x = 39,510 × 39,510
  4. Step 4: Simplify right side
    26,370x = 1,561,040,100
  5. Step 5: Solve for x
    x = 1,561,040,100/26,370
  6. Step 6: Final answer
    x = 59,197.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.