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Finding the Third Proportional to 26,080 and 39,028

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Solution

The third proportional to 26,080 and 39,028 is: 58,404.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,080 : 39,028 = 39,028 : x
  2. Step 2: Convert to fraction form
    26,080/39,028 = 39,028/x
  3. Step 3: Cross multiply
    26,080x = 39,028 × 39,028
  4. Step 4: Simplify right side
    26,080x = 1,523,184,784
  5. Step 5: Solve for x
    x = 1,523,184,784/26,080
  6. Step 6: Final answer
    x = 58,404.32

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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.