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Finding the Third Proportional to 42,787.50 and 64,314

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Solution

The third proportional to 42,787.50 and 64,314 is: 96,670.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,787.50 : 64,314 = 64,314 : x
  2. Step 2: Convert to fraction form
    42,787.50/64,314 = 64,314/x
  3. Step 3: Cross multiply
    42,787.50x = 64,314 × 64,314
  4. Step 4: Simplify right side
    42,787.50x = 4,136,290,596
  5. Step 5: Solve for x
    x = 4,136,290,596/42,787.50
  6. Step 6: Final answer
    x = 96,670.54

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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.