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Finding the Third Proportional to 41,655 and 59,366.25

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Solution

The third proportional to 41,655 and 59,366.25 is: 84,608.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,655 : 59,366.25 = 59,366.25 : x
  2. Step 2: Convert to fraction form
    41,655/59,366.25 = 59,366.25/x
  3. Step 3: Cross multiply
    41,655x = 59,366.25 × 59,366.25
  4. Step 4: Simplify right side
    41,655x = 3,524,351,639.06
  5. Step 5: Solve for x
    x = 3,524,351,639.06/41,655
  6. Step 6: Final answer
    x = 84,608.13

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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.