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Finding the Third Proportional to 11,558.64 and 22,220.26

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Solution

The third proportional to 11,558.64 and 22,220.26 is: 42,716.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,558.64 : 22,220.26 = 22,220.26 : x
  2. Step 2: Convert to fraction form
    11,558.64/22,220.26 = 22,220.26/x
  3. Step 3: Cross multiply
    11,558.64x = 22,220.26 × 22,220.26
  4. Step 4: Simplify right side
    11,558.64x = 493,740,030.85
  5. Step 5: Solve for x
    x = 493,740,030.85/11,558.64
  6. Step 6: Final answer
    x = 42,716.11

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.