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Finding the Third Proportional to 9,049.22 and 14,076.28

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Solution

The third proportional to 9,049.22 and 14,076.28 is: 21,896.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,049.22 : 14,076.28 = 14,076.28 : x
  2. Step 2: Convert to fraction form
    9,049.22/14,076.28 = 14,076.28/x
  3. Step 3: Cross multiply
    9,049.22x = 14,076.28 × 14,076.28
  4. Step 4: Simplify right side
    9,049.22x = 198,141,693.83
  5. Step 5: Solve for x
    x = 198,141,693.83/9,049.22
  6. Step 6: Final answer
    x = 21,896.00

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.