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Finding the Third Proportional to 26,742 and 39,299

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Solution

The third proportional to 26,742 and 39,299 is: 57,752.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,742 : 39,299 = 39,299 : x
  2. Step 2: Convert to fraction form
    26,742/39,299 = 39,299/x
  3. Step 3: Cross multiply
    26,742x = 39,299 × 39,299
  4. Step 4: Simplify right side
    26,742x = 1,544,411,401
  5. Step 5: Solve for x
    x = 1,544,411,401/26,742
  6. Step 6: Final answer
    x = 57,752.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.