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Finding the Third Proportional to 23,550 and 48,180

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Solution

The third proportional to 23,550 and 48,180 is: 98,569.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,550 : 48,180 = 48,180 : x
  2. Step 2: Convert to fraction form
    23,550/48,180 = 48,180/x
  3. Step 3: Cross multiply
    23,550x = 48,180 × 48,180
  4. Step 4: Simplify right side
    23,550x = 2,321,312,400
  5. Step 5: Solve for x
    x = 2,321,312,400/23,550
  6. Step 6: Final answer
    x = 98,569.53

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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.