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Finding the Third Proportional to 12,906 and 28,270.69

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Solution

The third proportional to 12,906 and 28,270.69 is: 61,927.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,906 : 28,270.69 = 28,270.69 : x
  2. Step 2: Convert to fraction form
    12,906/28,270.69 = 28,270.69/x
  3. Step 3: Cross multiply
    12,906x = 28,270.69 × 28,270.69
  4. Step 4: Simplify right side
    12,906x = 799,231,771.72
  5. Step 5: Solve for x
    x = 799,231,771.72/12,906
  6. Step 6: Final answer
    x = 61,927.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.