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Finding the Third Proportional to 18,265.50 and 24,284.25

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Solution

The third proportional to 18,265.50 and 24,284.25 is: 32,286.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,265.50 : 24,284.25 = 24,284.25 : x
  2. Step 2: Convert to fraction form
    18,265.50/24,284.25 = 24,284.25/x
  3. Step 3: Cross multiply
    18,265.50x = 24,284.25 × 24,284.25
  4. Step 4: Simplify right side
    18,265.50x = 589,724,798.06
  5. Step 5: Solve for x
    x = 589,724,798.06/18,265.50
  6. Step 6: Final answer
    x = 32,286.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.