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Finding the Third Proportional to 35,838 and 48,655

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Solution

The third proportional to 35,838 and 48,655 is: 66,055.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,838 : 48,655 = 48,655 : x
  2. Step 2: Convert to fraction form
    35,838/48,655 = 48,655/x
  3. Step 3: Cross multiply
    35,838x = 48,655 × 48,655
  4. Step 4: Simplify right side
    35,838x = 2,367,309,025
  5. Step 5: Solve for x
    x = 2,367,309,025/35,838
  6. Step 6: Final answer
    x = 66,055.84

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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.