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Finding the Third Proportional to 12,165.19 and 24,284.81

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Solution

The third proportional to 12,165.19 and 24,284.81 is: 48,478.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,165.19 : 24,284.81 = 24,284.81 : x
  2. Step 2: Convert to fraction form
    12,165.19/24,284.81 = 24,284.81/x
  3. Step 3: Cross multiply
    12,165.19x = 24,284.81 × 24,284.81
  4. Step 4: Simplify right side
    12,165.19x = 589,752,118.16
  5. Step 5: Solve for x
    x = 589,752,118.16/12,165.19
  6. Step 6: Final answer
    x = 48,478.67

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.