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Finding the Third Proportional to 24,783.15 and 39,895.66

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Solution

The third proportional to 24,783.15 and 39,895.66 is: 64,223.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,783.15 : 39,895.66 = 39,895.66 : x
  2. Step 2: Convert to fraction form
    24,783.15/39,895.66 = 39,895.66/x
  3. Step 3: Cross multiply
    24,783.15x = 39,895.66 × 39,895.66
  4. Step 4: Simplify right side
    24,783.15x = 1,591,664,010.99
  5. Step 5: Solve for x
    x = 1,591,664,010.99/24,783.15
  6. Step 6: Final answer
    x = 64,223.63

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.