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Finding the Third Proportional to 35,920 and 51,412

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Solution

The third proportional to 35,920 and 51,412 is: 73,585.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,920 : 51,412 = 51,412 : x
  2. Step 2: Convert to fraction form
    35,920/51,412 = 51,412/x
  3. Step 3: Cross multiply
    35,920x = 51,412 × 51,412
  4. Step 4: Simplify right side
    35,920x = 2,643,193,744
  5. Step 5: Solve for x
    x = 2,643,193,744/35,920
  6. Step 6: Final answer
    x = 73,585.57

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.