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Finding the Third Proportional to 59,907 and 65,667

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Solution

The third proportional to 59,907 and 65,667 is: 71,980.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,907 : 65,667 = 65,667 : x
  2. Step 2: Convert to fraction form
    59,907/65,667 = 65,667/x
  3. Step 3: Cross multiply
    59,907x = 65,667 × 65,667
  4. Step 4: Simplify right side
    59,907x = 4,312,154,889
  5. Step 5: Solve for x
    x = 4,312,154,889/59,907
  6. Step 6: Final answer
    x = 71,980.82

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.