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Finding the Third Proportional to 26,154 and 39,357

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Solution

The third proportional to 26,154 and 39,357 is: 59,225.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,154 : 39,357 = 39,357 : x
  2. Step 2: Convert to fraction form
    26,154/39,357 = 39,357/x
  3. Step 3: Cross multiply
    26,154x = 39,357 × 39,357
  4. Step 4: Simplify right side
    26,154x = 1,548,973,449
  5. Step 5: Solve for x
    x = 1,548,973,449/26,154
  6. Step 6: Final answer
    x = 59,225.11

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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.