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Finding the Third Proportional to 1,365.19 and 3,298.22

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Solution

The third proportional to 1,365.19 and 3,298.22 is: 7,968.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.19 : 3,298.22 = 3,298.22 : x
  2. Step 2: Convert to fraction form
    1,365.19/3,298.22 = 3,298.22/x
  3. Step 3: Cross multiply
    1,365.19x = 3,298.22 × 3,298.22
  4. Step 4: Simplify right side
    1,365.19x = 10,878,246.92
  5. Step 5: Solve for x
    x = 10,878,246.92/1,365.19
  6. Step 6: Final answer
    x = 7,968.32

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.