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Finding the Third Proportional to 8,669.25 and 18,706.50

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Solution

The third proportional to 8,669.25 and 18,706.50 is: 40,364.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,669.25 : 18,706.50 = 18,706.50 : x
  2. Step 2: Convert to fraction form
    8,669.25/18,706.50 = 18,706.50/x
  3. Step 3: Cross multiply
    8,669.25x = 18,706.50 × 18,706.50
  4. Step 4: Simplify right side
    8,669.25x = 349,933,142.25
  5. Step 5: Solve for x
    x = 349,933,142.25/8,669.25
  6. Step 6: Final answer
    x = 40,364.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.