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Finding the Third Proportional to 12,502 and 29,512.50

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Solution

The third proportional to 12,502 and 29,512.50 is: 69,667.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,502 : 29,512.50 = 29,512.50 : x
  2. Step 2: Convert to fraction form
    12,502/29,512.50 = 29,512.50/x
  3. Step 3: Cross multiply
    12,502x = 29,512.50 × 29,512.50
  4. Step 4: Simplify right side
    12,502x = 870,987,656.25
  5. Step 5: Solve for x
    x = 870,987,656.25/12,502
  6. Step 6: Final answer
    x = 69,667.87

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.