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Finding the Third Proportional to 10,748.81 and 22,803.38

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Solution

The third proportional to 10,748.81 and 22,803.38 is: 48,376.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,748.81 : 22,803.38 = 22,803.38 : x
  2. Step 2: Convert to fraction form
    10,748.81/22,803.38 = 22,803.38/x
  3. Step 3: Cross multiply
    10,748.81x = 22,803.38 × 22,803.38
  4. Step 4: Simplify right side
    10,748.81x = 519,993,911.39
  5. Step 5: Solve for x
    x = 519,993,911.39/10,748.81
  6. Step 6: Final answer
    x = 48,376.87

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.