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Finding the Third Proportional to 1,512.94 and 3,308.06

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Solution

The third proportional to 1,512.94 and 3,308.06 is: 7,233.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512.94 : 3,308.06 = 3,308.06 : x
  2. Step 2: Convert to fraction form
    1,512.94/3,308.06 = 3,308.06/x
  3. Step 3: Cross multiply
    1,512.94x = 3,308.06 × 3,308.06
  4. Step 4: Simplify right side
    1,512.94x = 10,943,277.50
  5. Step 5: Solve for x
    x = 10,943,277.50/1,512.94
  6. Step 6: Final answer
    x = 7,233.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.