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Finding the Third Proportional to 21,000.38 and 45,282.38

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Solution

The third proportional to 21,000.38 and 45,282.38 is: 97,640.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,000.38 : 45,282.38 = 45,282.38 : x
  2. Step 2: Convert to fraction form
    21,000.38/45,282.38 = 45,282.38/x
  3. Step 3: Cross multiply
    21,000.38x = 45,282.38 × 45,282.38
  4. Step 4: Simplify right side
    21,000.38x = 2,050,493,485.64
  5. Step 5: Solve for x
    x = 2,050,493,485.64/21,000.38
  6. Step 6: Final answer
    x = 97,640.80

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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.