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Finding the Third Proportional to 1,465.50 and 3,161.06

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Solution

The third proportional to 1,465.50 and 3,161.06 is: 6,818.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.50 : 3,161.06 = 3,161.06 : x
  2. Step 2: Convert to fraction form
    1,465.50/3,161.06 = 3,161.06/x
  3. Step 3: Cross multiply
    1,465.50x = 3,161.06 × 3,161.06
  4. Step 4: Simplify right side
    1,465.50x = 9,992,316.13
  5. Step 5: Solve for x
    x = 9,992,316.13/1,465.50
  6. Step 6: Final answer
    x = 6,818.37

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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.