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Finding the Third Proportional to 41,835 and 61,356

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Solution

The third proportional to 41,835 and 61,356 is: 89,985.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,835 : 61,356 = 61,356 : x
  2. Step 2: Convert to fraction form
    41,835/61,356 = 61,356/x
  3. Step 3: Cross multiply
    41,835x = 61,356 × 61,356
  4. Step 4: Simplify right side
    41,835x = 3,764,558,736
  5. Step 5: Solve for x
    x = 3,764,558,736/41,835
  6. Step 6: Final answer
    x = 89,985.87

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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.