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Finding the Third Proportional to 14,466.09 and 29,334.66

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Solution

The third proportional to 14,466.09 and 29,334.66 is: 59,485.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,466.09 : 29,334.66 = 29,334.66 : x
  2. Step 2: Convert to fraction form
    14,466.09/29,334.66 = 29,334.66/x
  3. Step 3: Cross multiply
    14,466.09x = 29,334.66 × 29,334.66
  4. Step 4: Simplify right side
    14,466.09x = 860,522,057.31
  5. Step 5: Solve for x
    x = 860,522,057.31/14,466.09
  6. Step 6: Final answer
    x = 59,485.45

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.