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Finding the Third Proportional to 10,494.56 and 22,037.06

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Solution

The third proportional to 10,494.56 and 22,037.06 is: 46,274.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494.56 : 22,037.06 = 22,037.06 : x
  2. Step 2: Convert to fraction form
    10,494.56/22,037.06 = 22,037.06/x
  3. Step 3: Cross multiply
    10,494.56x = 22,037.06 × 22,037.06
  4. Step 4: Simplify right side
    10,494.56x = 485,632,123.63
  5. Step 5: Solve for x
    x = 485,632,123.63/10,494.56
  6. Step 6: Final answer
    x = 46,274.64

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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.