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Finding the Third Proportional to 22,229.63 and 39,525

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Solution

The third proportional to 22,229.63 and 39,525 is: 70,276.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,229.63 : 39,525 = 39,525 : x
  2. Step 2: Convert to fraction form
    22,229.63/39,525 = 39,525/x
  3. Step 3: Cross multiply
    22,229.63x = 39,525 × 39,525
  4. Step 4: Simplify right side
    22,229.63x = 1,562,225,625
  5. Step 5: Solve for x
    x = 1,562,225,625/22,229.63
  6. Step 6: Final answer
    x = 70,276.74

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.