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Finding the Third Proportional to 33,569.44 and 45,433.41

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Solution

The third proportional to 33,569.44 and 45,433.41 is: 61,490.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,569.44 : 45,433.41 = 45,433.41 : x
  2. Step 2: Convert to fraction form
    33,569.44/45,433.41 = 45,433.41/x
  3. Step 3: Cross multiply
    33,569.44x = 45,433.41 × 45,433.41
  4. Step 4: Simplify right side
    33,569.44x = 2,064,194,403.48
  5. Step 5: Solve for x
    x = 2,064,194,403.48/33,569.44
  6. Step 6: Final answer
    x = 61,490.29

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.