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Finding the Third Proportional to 23,603 and 48,391

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Solution

The third proportional to 23,603 and 48,391 is: 99,211.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,603 : 48,391 = 48,391 : x
  2. Step 2: Convert to fraction form
    23,603/48,391 = 48,391/x
  3. Step 3: Cross multiply
    23,603x = 48,391 × 48,391
  4. Step 4: Simplify right side
    23,603x = 2,341,688,881
  5. Step 5: Solve for x
    x = 2,341,688,881/23,603
  6. Step 6: Final answer
    x = 99,211.49

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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.