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Finding the Third Proportional to 6,912 and 12,430.13

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Solution

The third proportional to 6,912 and 12,430.13 is: 22,353.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,912 : 12,430.13 = 12,430.13 : x
  2. Step 2: Convert to fraction form
    6,912/12,430.13 = 12,430.13/x
  3. Step 3: Cross multiply
    6,912x = 12,430.13 × 12,430.13
  4. Step 4: Simplify right side
    6,912x = 154,508,007.52
  5. Step 5: Solve for x
    x = 154,508,007.52/6,912
  6. Step 6: Final answer
    x = 22,353.59

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.