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Finding the Third Proportional to 4,869.84 and 10,559.53

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Solution

The third proportional to 4,869.84 and 10,559.53 is: 22,896.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,869.84 : 10,559.53 = 10,559.53 : x
  2. Step 2: Convert to fraction form
    4,869.84/10,559.53 = 10,559.53/x
  3. Step 3: Cross multiply
    4,869.84x = 10,559.53 × 10,559.53
  4. Step 4: Simplify right side
    4,869.84x = 111,503,700.22
  5. Step 5: Solve for x
    x = 111,503,700.22/4,869.84
  6. Step 6: Final answer
    x = 22,896.77

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.