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Finding the Third Proportional to 23,259.75 and 48,487.50

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Solution

The third proportional to 23,259.75 and 48,487.50 is: 101,077.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,259.75 : 48,487.50 = 48,487.50 : x
  2. Step 2: Convert to fraction form
    23,259.75/48,487.50 = 48,487.50/x
  3. Step 3: Cross multiply
    23,259.75x = 48,487.50 × 48,487.50
  4. Step 4: Simplify right side
    23,259.75x = 2,351,037,656.25
  5. Step 5: Solve for x
    x = 2,351,037,656.25/23,259.75
  6. Step 6: Final answer
    x = 101,077.51

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.