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Finding the Third Proportional to 6,999.54 and 16,216.45

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Solution

The third proportional to 6,999.54 and 16,216.45 is: 37,570.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,999.54 : 16,216.45 = 16,216.45 : x
  2. Step 2: Convert to fraction form
    6,999.54/16,216.45 = 16,216.45/x
  3. Step 3: Cross multiply
    6,999.54x = 16,216.45 × 16,216.45
  4. Step 4: Simplify right side
    6,999.54x = 262,973,351.96
  5. Step 5: Solve for x
    x = 262,973,351.96/6,999.54
  6. Step 6: Final answer
    x = 37,570.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.