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Finding the Third Proportional to 4,109.63 and 8,766.56

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Solution

The third proportional to 4,109.63 and 8,766.56 is: 18,700.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,109.63 : 8,766.56 = 8,766.56 : x
  2. Step 2: Convert to fraction form
    4,109.63/8,766.56 = 8,766.56/x
  3. Step 3: Cross multiply
    4,109.63x = 8,766.56 × 8,766.56
  4. Step 4: Simplify right side
    4,109.63x = 76,852,618.07
  5. Step 5: Solve for x
    x = 76,852,618.07/4,109.63
  6. Step 6: Final answer
    x = 18,700.64

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.