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Finding the Third Proportional to 9,563.06 and 14,693.91

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Solution

The third proportional to 9,563.06 and 14,693.91 is: 22,577.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,563.06 : 14,693.91 = 14,693.91 : x
  2. Step 2: Convert to fraction form
    9,563.06/14,693.91 = 14,693.91/x
  3. Step 3: Cross multiply
    9,563.06x = 14,693.91 × 14,693.91
  4. Step 4: Simplify right side
    9,563.06x = 215,910,880.88
  5. Step 5: Solve for x
    x = 215,910,880.88/9,563.06
  6. Step 6: Final answer
    x = 22,577.59

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.