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Finding the Third Proportional to 27,767 and 39,574

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Solution

The third proportional to 27,767 and 39,574 is: 56,401.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,767 : 39,574 = 39,574 : x
  2. Step 2: Convert to fraction form
    27,767/39,574 = 39,574/x
  3. Step 3: Cross multiply
    27,767x = 39,574 × 39,574
  4. Step 4: Simplify right side
    27,767x = 1,566,101,476
  5. Step 5: Solve for x
    x = 1,566,101,476/27,767
  6. Step 6: Final answer
    x = 56,401.54

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.