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Finding the Third Proportional to 5,968.69 and 15,495.05

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Solution

The third proportional to 5,968.69 and 15,495.05 is: 40,226.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,968.69 : 15,495.05 = 15,495.05 : x
  2. Step 2: Convert to fraction form
    5,968.69/15,495.05 = 15,495.05/x
  3. Step 3: Cross multiply
    5,968.69x = 15,495.05 × 15,495.05
  4. Step 4: Simplify right side
    5,968.69x = 240,096,477.66
  5. Step 5: Solve for x
    x = 240,096,477.66/5,968.69
  6. Step 6: Final answer
    x = 40,226.01

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.