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Finding the Third Proportional to 35,009 and 52,391

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Solution

The third proportional to 35,009 and 52,391 is: 78,403.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,009 : 52,391 = 52,391 : x
  2. Step 2: Convert to fraction form
    35,009/52,391 = 52,391/x
  3. Step 3: Cross multiply
    35,009x = 52,391 × 52,391
  4. Step 4: Simplify right side
    35,009x = 2,744,816,881
  5. Step 5: Solve for x
    x = 2,744,816,881/35,009
  6. Step 6: Final answer
    x = 78,403.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.