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Finding the Third Proportional to 22,365 and 33,025.50

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Solution

The third proportional to 22,365 and 33,025.50 is: 48,767.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,365 : 33,025.50 = 33,025.50 : x
  2. Step 2: Convert to fraction form
    22,365/33,025.50 = 33,025.50/x
  3. Step 3: Cross multiply
    22,365x = 33,025.50 × 33,025.50
  4. Step 4: Simplify right side
    22,365x = 1,090,683,650.25
  5. Step 5: Solve for x
    x = 1,090,683,650.25/22,365
  6. Step 6: Final answer
    x = 48,767.43

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.