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Finding the Third Proportional to 41,653.83 and 59,522.13

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Solution

The third proportional to 41,653.83 and 59,522.13 is: 85,055.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,653.83 : 59,522.13 = 59,522.13 : x
  2. Step 2: Convert to fraction form
    41,653.83/59,522.13 = 59,522.13/x
  3. Step 3: Cross multiply
    41,653.83x = 59,522.13 × 59,522.13
  4. Step 4: Simplify right side
    41,653.83x = 3,542,884,294.55
  5. Step 5: Solve for x
    x = 3,542,884,294.55/41,653.83
  6. Step 6: Final answer
    x = 85,055.43

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.