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Finding the Third Proportional to 1,304.07 and 2,900.02

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Solution

The third proportional to 1,304.07 and 2,900.02 is: 6,449.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.07 : 2,900.02 = 2,900.02 : x
  2. Step 2: Convert to fraction form
    1,304.07/2,900.02 = 2,900.02/x
  3. Step 3: Cross multiply
    1,304.07x = 2,900.02 × 2,900.02
  4. Step 4: Simplify right side
    1,304.07x = 8,410,124.61
  5. Step 5: Solve for x
    x = 8,410,124.61/1,304.07
  6. Step 6: Final answer
    x = 6,449.14

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.