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Finding the Third Proportional to 34,411 and 48,458

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Solution

The third proportional to 34,411 and 48,458 is: 68,239.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,411 : 48,458 = 48,458 : x
  2. Step 2: Convert to fraction form
    34,411/48,458 = 48,458/x
  3. Step 3: Cross multiply
    34,411x = 48,458 × 48,458
  4. Step 4: Simplify right side
    34,411x = 2,348,177,764
  5. Step 5: Solve for x
    x = 2,348,177,764/34,411
  6. Step 6: Final answer
    x = 68,239.16

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.