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Finding the Third Proportional to 2,968.68 and 6,526.83

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Solution

The third proportional to 2,968.68 and 6,526.83 is: 14,349.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,968.68 : 6,526.83 = 6,526.83 : x
  2. Step 2: Convert to fraction form
    2,968.68/6,526.83 = 6,526.83/x
  3. Step 3: Cross multiply
    2,968.68x = 6,526.83 × 6,526.83
  4. Step 4: Simplify right side
    2,968.68x = 42,599,485.37
  5. Step 5: Solve for x
    x = 42,599,485.37/2,968.68
  6. Step 6: Final answer
    x = 14,349.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.