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Finding the Third Proportional to 2,415.50 and 3,737.75

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Solution

The third proportional to 2,415.50 and 3,737.75 is: 5,783.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,415.50 : 3,737.75 = 3,737.75 : x
  2. Step 2: Convert to fraction form
    2,415.50/3,737.75 = 3,737.75/x
  3. Step 3: Cross multiply
    2,415.50x = 3,737.75 × 3,737.75
  4. Step 4: Simplify right side
    2,415.50x = 13,970,775.06
  5. Step 5: Solve for x
    x = 13,970,775.06/2,415.50
  6. Step 6: Final answer
    x = 5,783.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.