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Finding the Third Proportional to 35,844 and 48,664

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Solution

The third proportional to 35,844 and 48,664 is: 66,069.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,844 : 48,664 = 48,664 : x
  2. Step 2: Convert to fraction form
    35,844/48,664 = 48,664/x
  3. Step 3: Cross multiply
    35,844x = 48,664 × 48,664
  4. Step 4: Simplify right side
    35,844x = 2,368,184,896
  5. Step 5: Solve for x
    x = 2,368,184,896/35,844
  6. Step 6: Final answer
    x = 66,069.21

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.