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Finding the Third Proportional to 12,140 and 25,500

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Solution

The third proportional to 12,140 and 25,500 is: 53,562.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,140 : 25,500 = 25,500 : x
  2. Step 2: Convert to fraction form
    12,140/25,500 = 25,500/x
  3. Step 3: Cross multiply
    12,140x = 25,500 × 25,500
  4. Step 4: Simplify right side
    12,140x = 650,250,000
  5. Step 5: Solve for x
    x = 650,250,000/12,140
  6. Step 6: Final answer
    x = 53,562.60

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.