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Finding the Third Proportional to 9,927.56 and 21,429.56

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Solution

The third proportional to 9,927.56 and 21,429.56 is: 46,257.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,927.56 : 21,429.56 = 21,429.56 : x
  2. Step 2: Convert to fraction form
    9,927.56/21,429.56 = 21,429.56/x
  3. Step 3: Cross multiply
    9,927.56x = 21,429.56 × 21,429.56
  4. Step 4: Simplify right side
    9,927.56x = 459,226,148.94
  5. Step 5: Solve for x
    x = 459,226,148.94/9,927.56
  6. Step 6: Final answer
    x = 46,257.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.