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Finding the Third Proportional to 35,380.50 and 51,612.75

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Solution

The third proportional to 35,380.50 and 51,612.75 is: 75,292.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,380.50 : 51,612.75 = 51,612.75 : x
  2. Step 2: Convert to fraction form
    35,380.50/51,612.75 = 51,612.75/x
  3. Step 3: Cross multiply
    35,380.50x = 51,612.75 × 51,612.75
  4. Step 4: Simplify right side
    35,380.50x = 2,663,875,962.56
  5. Step 5: Solve for x
    x = 2,663,875,962.56/35,380.50
  6. Step 6: Final answer
    x = 75,292.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.