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Finding the Third Proportional to 22,709.25 and 48,525.75

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Solution

The third proportional to 22,709.25 and 48,525.75 is: 103,691.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,709.25 : 48,525.75 = 48,525.75 : x
  2. Step 2: Convert to fraction form
    22,709.25/48,525.75 = 48,525.75/x
  3. Step 3: Cross multiply
    22,709.25x = 48,525.75 × 48,525.75
  4. Step 4: Simplify right side
    22,709.25x = 2,354,748,413.06
  5. Step 5: Solve for x
    x = 2,354,748,413.06/22,709.25
  6. Step 6: Final answer
    x = 103,691.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.