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Finding the Third Proportional to 6,119.50 and 13,210.75

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Solution

The third proportional to 6,119.50 and 13,210.75 is: 28,519.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,119.50 : 13,210.75 = 13,210.75 : x
  2. Step 2: Convert to fraction form
    6,119.50/13,210.75 = 13,210.75/x
  3. Step 3: Cross multiply
    6,119.50x = 13,210.75 × 13,210.75
  4. Step 4: Simplify right side
    6,119.50x = 174,523,915.56
  5. Step 5: Solve for x
    x = 174,523,915.56/6,119.50
  6. Step 6: Final answer
    x = 28,519.31

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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.