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Finding the Third Proportional to 6,898.13 and 14,420.81

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Solution

The third proportional to 6,898.13 and 14,420.81 is: 30,147.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,898.13 : 14,420.81 = 14,420.81 : x
  2. Step 2: Convert to fraction form
    6,898.13/14,420.81 = 14,420.81/x
  3. Step 3: Cross multiply
    6,898.13x = 14,420.81 × 14,420.81
  4. Step 4: Simplify right side
    6,898.13x = 207,959,833.16
  5. Step 5: Solve for x
    x = 207,959,833.16/6,898.13
  6. Step 6: Final answer
    x = 30,147.30

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.