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Finding the Third Proportional to 6,898.88 and 15,051.38

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Solution

The third proportional to 6,898.88 and 15,051.38 is: 32,837.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,898.88 : 15,051.38 = 15,051.38 : x
  2. Step 2: Convert to fraction form
    6,898.88/15,051.38 = 15,051.38/x
  3. Step 3: Cross multiply
    6,898.88x = 15,051.38 × 15,051.38
  4. Step 4: Simplify right side
    6,898.88x = 226,543,889.39
  5. Step 5: Solve for x
    x = 226,543,889.39/6,898.88
  6. Step 6: Final answer
    x = 32,837.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.