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Finding the Third Proportional to 9,749.88 and 21,056.38

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Solution

The third proportional to 9,749.88 and 21,056.38 is: 45,474.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,749.88 : 21,056.38 = 21,056.38 : x
  2. Step 2: Convert to fraction form
    9,749.88/21,056.38 = 21,056.38/x
  3. Step 3: Cross multiply
    9,749.88x = 21,056.38 × 21,056.38
  4. Step 4: Simplify right side
    9,749.88x = 443,370,928.14
  5. Step 5: Solve for x
    x = 443,370,928.14/9,749.88
  6. Step 6: Final answer
    x = 45,474.52

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.