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Finding the Third Proportional to 10,919.81 and 16,362.84

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Solution

The third proportional to 10,919.81 and 16,362.84 is: 24,518.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,919.81 : 16,362.84 = 16,362.84 : x
  2. Step 2: Convert to fraction form
    10,919.81/16,362.84 = 16,362.84/x
  3. Step 3: Cross multiply
    10,919.81x = 16,362.84 × 16,362.84
  4. Step 4: Simplify right side
    10,919.81x = 267,742,655.59
  5. Step 5: Solve for x
    x = 267,742,655.59/10,919.81
  6. Step 6: Final answer
    x = 24,518.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.