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Finding the Third Proportional to 26,214 and 39,426

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Solution

The third proportional to 26,214 and 39,426 is: 59,296.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,214 : 39,426 = 39,426 : x
  2. Step 2: Convert to fraction form
    26,214/39,426 = 39,426/x
  3. Step 3: Cross multiply
    26,214x = 39,426 × 39,426
  4. Step 4: Simplify right side
    26,214x = 1,554,409,476
  5. Step 5: Solve for x
    x = 1,554,409,476/26,214
  6. Step 6: Final answer
    x = 59,296.92

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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.