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Finding the Third Proportional to 6,972 and 15,225.38

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Solution

The third proportional to 6,972 and 15,225.38 is: 33,249.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,972 : 15,225.38 = 15,225.38 : x
  2. Step 2: Convert to fraction form
    6,972/15,225.38 = 15,225.38/x
  3. Step 3: Cross multiply
    6,972x = 15,225.38 × 15,225.38
  4. Step 4: Simplify right side
    6,972x = 231,812,043.89
  5. Step 5: Solve for x
    x = 231,812,043.89/6,972
  6. Step 6: Final answer
    x = 33,249.00

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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.