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Finding the Third Proportional to 1,008.07 and 2,366.40

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Solution

The third proportional to 1,008.07 and 2,366.40 is: 5,555.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.07 : 2,366.40 = 2,366.40 : x
  2. Step 2: Convert to fraction form
    1,008.07/2,366.40 = 2,366.40/x
  3. Step 3: Cross multiply
    1,008.07x = 2,366.40 × 2,366.40
  4. Step 4: Simplify right side
    1,008.07x = 5,599,860.05
  5. Step 5: Solve for x
    x = 5,599,860.05/1,008.07
  6. Step 6: Final answer
    x = 5,555.03

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.