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Finding the Third Proportional to 22,960 and 48,636

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Solution

The third proportional to 22,960 and 48,636 is: 103,025.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,960 : 48,636 = 48,636 : x
  2. Step 2: Convert to fraction form
    22,960/48,636 = 48,636/x
  3. Step 3: Cross multiply
    22,960x = 48,636 × 48,636
  4. Step 4: Simplify right side
    22,960x = 2,365,460,496
  5. Step 5: Solve for x
    x = 2,365,460,496/22,960
  6. Step 6: Final answer
    x = 103,025.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.