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Finding the Third Proportional to 3,017.04 and 4,643.58

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Solution

The third proportional to 3,017.04 and 4,643.58 is: 7,147.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,017.04 : 4,643.58 = 4,643.58 : x
  2. Step 2: Convert to fraction form
    3,017.04/4,643.58 = 4,643.58/x
  3. Step 3: Cross multiply
    3,017.04x = 4,643.58 × 4,643.58
  4. Step 4: Simplify right side
    3,017.04x = 21,562,817.80
  5. Step 5: Solve for x
    x = 21,562,817.80/3,017.04
  6. Step 6: Final answer
    x = 7,147.01

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.