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Finding the Third Proportional to 39,410 and 57,963

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Solution

The third proportional to 39,410 and 57,963 is: 85,250.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,410 : 57,963 = 57,963 : x
  2. Step 2: Convert to fraction form
    39,410/57,963 = 57,963/x
  3. Step 3: Cross multiply
    39,410x = 57,963 × 57,963
  4. Step 4: Simplify right side
    39,410x = 3,359,709,369
  5. Step 5: Solve for x
    x = 3,359,709,369/39,410
  6. Step 6: Final answer
    x = 85,250.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.