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Finding the Third Proportional to 10,211.06 and 21,807.56

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Solution

The third proportional to 10,211.06 and 21,807.56 is: 46,573.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,211.06 : 21,807.56 = 21,807.56 : x
  2. Step 2: Convert to fraction form
    10,211.06/21,807.56 = 21,807.56/x
  3. Step 3: Cross multiply
    10,211.06x = 21,807.56 × 21,807.56
  4. Step 4: Simplify right side
    10,211.06x = 475,569,782.19
  5. Step 5: Solve for x
    x = 475,569,782.19/10,211.06
  6. Step 6: Final answer
    x = 46,573.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.