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Finding the Third Proportional to 23,604 and 48,297

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Solution

The third proportional to 23,604 and 48,297 is: 98,822.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,604 : 48,297 = 48,297 : x
  2. Step 2: Convert to fraction form
    23,604/48,297 = 48,297/x
  3. Step 3: Cross multiply
    23,604x = 48,297 × 48,297
  4. Step 4: Simplify right side
    23,604x = 2,332,600,209
  5. Step 5: Solve for x
    x = 2,332,600,209/23,604
  6. Step 6: Final answer
    x = 98,822.24

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.