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Finding the Third Proportional to 1,453.64 and 3,030.28

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Solution

The third proportional to 1,453.64 and 3,030.28 is: 6,316.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453.64 : 3,030.28 = 3,030.28 : x
  2. Step 2: Convert to fraction form
    1,453.64/3,030.28 = 3,030.28/x
  3. Step 3: Cross multiply
    1,453.64x = 3,030.28 × 3,030.28
  4. Step 4: Simplify right side
    1,453.64x = 9,182,604.45
  5. Step 5: Solve for x
    x = 9,182,604.45/1,453.64
  6. Step 6: Final answer
    x = 6,316.97

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.