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Finding the Third Proportional to 41,006 and 63,261

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Solution

The third proportional to 41,006 and 63,261 is: 97,594.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,006 : 63,261 = 63,261 : x
  2. Step 2: Convert to fraction form
    41,006/63,261 = 63,261/x
  3. Step 3: Cross multiply
    41,006x = 63,261 × 63,261
  4. Step 4: Simplify right side
    41,006x = 4,001,954,121
  5. Step 5: Solve for x
    x = 4,001,954,121/41,006
  6. Step 6: Final answer
    x = 97,594.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.