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Finding the Third Proportional to 6,147 and 12,460.50

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Solution

The third proportional to 6,147 and 12,460.50 is: 25,258.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147 : 12,460.50 = 12,460.50 : x
  2. Step 2: Convert to fraction form
    6,147/12,460.50 = 12,460.50/x
  3. Step 3: Cross multiply
    6,147x = 12,460.50 × 12,460.50
  4. Step 4: Simplify right side
    6,147x = 155,264,060.25
  5. Step 5: Solve for x
    x = 155,264,060.25/6,147
  6. Step 6: Final answer
    x = 25,258.51

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.