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Finding the Third Proportional to 24,284.81 and 36,450

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Solution

The third proportional to 24,284.81 and 36,450 is: 54,709.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,284.81 : 36,450 = 36,450 : x
  2. Step 2: Convert to fraction form
    24,284.81/36,450 = 36,450/x
  3. Step 3: Cross multiply
    24,284.81x = 36,450 × 36,450
  4. Step 4: Simplify right side
    24,284.81x = 1,328,602,500
  5. Step 5: Solve for x
    x = 1,328,602,500/24,284.81
  6. Step 6: Final answer
    x = 54,709.19

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Why These Related Problems?

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