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Finding the Third Proportional to 9,254.81 and 14,903.44

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Solution

The third proportional to 9,254.81 and 14,903.44 is: 23,999.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,254.81 : 14,903.44 = 14,903.44 : x
  2. Step 2: Convert to fraction form
    9,254.81/14,903.44 = 14,903.44/x
  3. Step 3: Cross multiply
    9,254.81x = 14,903.44 × 14,903.44
  4. Step 4: Simplify right side
    9,254.81x = 222,112,449.32
  5. Step 5: Solve for x
    x = 222,112,449.32/9,254.81
  6. Step 6: Final answer
    x = 23,999.67

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.