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Finding the Third Proportional to 46,805 and 60,721

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Solution

The third proportional to 46,805 and 60,721 is: 78,774.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,805 : 60,721 = 60,721 : x
  2. Step 2: Convert to fraction form
    46,805/60,721 = 60,721/x
  3. Step 3: Cross multiply
    46,805x = 60,721 × 60,721
  4. Step 4: Simplify right side
    46,805x = 3,687,039,841
  5. Step 5: Solve for x
    x = 3,687,039,841/46,805
  6. Step 6: Final answer
    x = 78,774.49

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.