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Finding the Third Proportional to 6,021 and 11,497.50

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Solution

The third proportional to 6,021 and 11,497.50 is: 21,955.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,021 : 11,497.50 = 11,497.50 : x
  2. Step 2: Convert to fraction form
    6,021/11,497.50 = 11,497.50/x
  3. Step 3: Cross multiply
    6,021x = 11,497.50 × 11,497.50
  4. Step 4: Simplify right side
    6,021x = 132,192,506.25
  5. Step 5: Solve for x
    x = 132,192,506.25/6,021
  6. Step 6: Final answer
    x = 21,955.24

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.