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Finding the Third Proportional to 25,785 and 41,028.94

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Solution

The third proportional to 25,785 and 41,028.94 is: 65,285.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,785 : 41,028.94 = 41,028.94 : x
  2. Step 2: Convert to fraction form
    25,785/41,028.94 = 41,028.94/x
  3. Step 3: Cross multiply
    25,785x = 41,028.94 × 41,028.94
  4. Step 4: Simplify right side
    25,785x = 1,683,373,712.38
  5. Step 5: Solve for x
    x = 1,683,373,712.38/25,785
  6. Step 6: Final answer
    x = 65,285.00

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.