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Finding the Third Proportional to 1,210.36 and 2,624.48

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Solution

The third proportional to 1,210.36 and 2,624.48 is: 5,690.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.36 : 2,624.48 = 2,624.48 : x
  2. Step 2: Convert to fraction form
    1,210.36/2,624.48 = 2,624.48/x
  3. Step 3: Cross multiply
    1,210.36x = 2,624.48 × 2,624.48
  4. Step 4: Simplify right side
    1,210.36x = 6,887,918.23
  5. Step 5: Solve for x
    x = 6,887,918.23/1,210.36
  6. Step 6: Final answer
    x = 5,690.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.