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Finding the Third Proportional to 11,152.69 and 22,847.06

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Solution

The third proportional to 11,152.69 and 22,847.06 is: 46,803.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,152.69 : 22,847.06 = 22,847.06 : x
  2. Step 2: Convert to fraction form
    11,152.69/22,847.06 = 22,847.06/x
  3. Step 3: Cross multiply
    11,152.69x = 22,847.06 × 22,847.06
  4. Step 4: Simplify right side
    11,152.69x = 521,988,264.88
  5. Step 5: Solve for x
    x = 521,988,264.88/11,152.69
  6. Step 6: Final answer
    x = 46,803.81

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.