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Finding the Third Proportional to 24,576 and 52,659

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Solution

The third proportional to 24,576 and 52,659 is: 112,832.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,576 : 52,659 = 52,659 : x
  2. Step 2: Convert to fraction form
    24,576/52,659 = 52,659/x
  3. Step 3: Cross multiply
    24,576x = 52,659 × 52,659
  4. Step 4: Simplify right side
    24,576x = 2,772,970,281
  5. Step 5: Solve for x
    x = 2,772,970,281/24,576
  6. Step 6: Final answer
    x = 112,832.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.