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Finding the Third Proportional to 10,057.92 and 21,152.39

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Solution

The third proportional to 10,057.92 and 21,152.39 is: 44,484.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,057.92 : 21,152.39 = 21,152.39 : x
  2. Step 2: Convert to fraction form
    10,057.92/21,152.39 = 21,152.39/x
  3. Step 3: Cross multiply
    10,057.92x = 21,152.39 × 21,152.39
  4. Step 4: Simplify right side
    10,057.92x = 447,423,629.15
  5. Step 5: Solve for x
    x = 447,423,629.15/10,057.92
  6. Step 6: Final answer
    x = 44,484.70

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.