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Finding the Third Proportional to 39,907 and 59,750.75

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Solution

The third proportional to 39,907 and 59,750.75 is: 89,461.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,907 : 59,750.75 = 59,750.75 : x
  2. Step 2: Convert to fraction form
    39,907/59,750.75 = 59,750.75/x
  3. Step 3: Cross multiply
    39,907x = 59,750.75 × 59,750.75
  4. Step 4: Simplify right side
    39,907x = 3,570,152,125.56
  5. Step 5: Solve for x
    x = 3,570,152,125.56/39,907
  6. Step 6: Final answer
    x = 89,461.80

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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.