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Finding the Third Proportional to 47,667.50 and 69,907

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Solution

The third proportional to 47,667.50 and 69,907 is: 102,522.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,667.50 : 69,907 = 69,907 : x
  2. Step 2: Convert to fraction form
    47,667.50/69,907 = 69,907/x
  3. Step 3: Cross multiply
    47,667.50x = 69,907 × 69,907
  4. Step 4: Simplify right side
    47,667.50x = 4,886,988,649
  5. Step 5: Solve for x
    x = 4,886,988,649/47,667.50
  6. Step 6: Final answer
    x = 102,522.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.