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Finding the Third Proportional to 24,510 and 53,694

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Solution

The third proportional to 24,510 and 53,694 is: 117,627.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,510 : 53,694 = 53,694 : x
  2. Step 2: Convert to fraction form
    24,510/53,694 = 53,694/x
  3. Step 3: Cross multiply
    24,510x = 53,694 × 53,694
  4. Step 4: Simplify right side
    24,510x = 2,883,045,636
  5. Step 5: Solve for x
    x = 2,883,045,636/24,510
  6. Step 6: Final answer
    x = 117,627.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.