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Finding the Third Proportional to 24,564 and 50,160

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Solution

The third proportional to 24,564 and 50,160 is: 102,427.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,564 : 50,160 = 50,160 : x
  2. Step 2: Convert to fraction form
    24,564/50,160 = 50,160/x
  3. Step 3: Cross multiply
    24,564x = 50,160 × 50,160
  4. Step 4: Simplify right side
    24,564x = 2,516,025,600
  5. Step 5: Solve for x
    x = 2,516,025,600/24,564
  6. Step 6: Final answer
    x = 102,427.36

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.