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Finding the Third Proportional to 21,133 and 45,650.25

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Solution

The third proportional to 21,133 and 45,650.25 is: 98,610.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,133 : 45,650.25 = 45,650.25 : x
  2. Step 2: Convert to fraction form
    21,133/45,650.25 = 45,650.25/x
  3. Step 3: Cross multiply
    21,133x = 45,650.25 × 45,650.25
  4. Step 4: Simplify right side
    21,133x = 2,083,945,325.06
  5. Step 5: Solve for x
    x = 2,083,945,325.06/21,133
  6. Step 6: Final answer
    x = 98,610.96

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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.