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Finding the Third Proportional to 27,766 and 40,607

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Solution

The third proportional to 27,766 and 40,607 is: 59,386.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,766 : 40,607 = 40,607 : x
  2. Step 2: Convert to fraction form
    27,766/40,607 = 40,607/x
  3. Step 3: Cross multiply
    27,766x = 40,607 × 40,607
  4. Step 4: Simplify right side
    27,766x = 1,648,928,449
  5. Step 5: Solve for x
    x = 1,648,928,449/27,766
  6. Step 6: Final answer
    x = 59,386.60

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.