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Finding the Third Proportional to 39,025 and 85,483

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Solution

The third proportional to 39,025 and 85,483 is: 187,247.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,025 : 85,483 = 85,483 : x
  2. Step 2: Convert to fraction form
    39,025/85,483 = 85,483/x
  3. Step 3: Cross multiply
    39,025x = 85,483 × 85,483
  4. Step 4: Simplify right side
    39,025x = 7,307,343,289
  5. Step 5: Solve for x
    x = 7,307,343,289/39,025
  6. Step 6: Final answer
    x = 187,247.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.