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Finding the Third Proportional to 4,928.58 and 10,636.71

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Solution

The third proportional to 4,928.58 and 10,636.71 is: 22,955.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,928.58 : 10,636.71 = 10,636.71 : x
  2. Step 2: Convert to fraction form
    4,928.58/10,636.71 = 10,636.71/x
  3. Step 3: Cross multiply
    4,928.58x = 10,636.71 × 10,636.71
  4. Step 4: Simplify right side
    4,928.58x = 113,139,557.24
  5. Step 5: Solve for x
    x = 113,139,557.24/4,928.58
  6. Step 6: Final answer
    x = 22,955.81

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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.