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Finding the Third Proportional to 24,576 and 52,655

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Solution

The third proportional to 24,576 and 52,655 is: 112,815.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,576 : 52,655 = 52,655 : x
  2. Step 2: Convert to fraction form
    24,576/52,655 = 52,655/x
  3. Step 3: Cross multiply
    24,576x = 52,655 × 52,655
  4. Step 4: Simplify right side
    24,576x = 2,772,549,025
  5. Step 5: Solve for x
    x = 2,772,549,025/24,576
  6. Step 6: Final answer
    x = 112,815.31

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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.