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Finding the Third Proportional to 21,151.13 and 45,982.69

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Solution

The third proportional to 21,151.13 and 45,982.69 is: 99,966.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,151.13 : 45,982.69 = 45,982.69 : x
  2. Step 2: Convert to fraction form
    21,151.13/45,982.69 = 45,982.69/x
  3. Step 3: Cross multiply
    21,151.13x = 45,982.69 × 45,982.69
  4. Step 4: Simplify right side
    21,151.13x = 2,114,407,549.72
  5. Step 5: Solve for x
    x = 2,114,407,549.72/21,151.13
  6. Step 6: Final answer
    x = 99,966.67

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.