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Finding the Third Proportional to 4,923.60 and 10,539.18

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Solution

The third proportional to 4,923.60 and 10,539.18 is: 22,559.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,923.60 : 10,539.18 = 10,539.18 : x
  2. Step 2: Convert to fraction form
    4,923.60/10,539.18 = 10,539.18/x
  3. Step 3: Cross multiply
    4,923.60x = 10,539.18 × 10,539.18
  4. Step 4: Simplify right side
    4,923.60x = 111,074,226.15
  5. Step 5: Solve for x
    x = 111,074,226.15/4,923.60
  6. Step 6: Final answer
    x = 22,559.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.