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Finding the Third Proportional to 3,140.65 and 6,797.04

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Solution

The third proportional to 3,140.65 and 6,797.04 is: 14,710.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140.65 : 6,797.04 = 6,797.04 : x
  2. Step 2: Convert to fraction form
    3,140.65/6,797.04 = 6,797.04/x
  3. Step 3: Cross multiply
    3,140.65x = 6,797.04 × 6,797.04
  4. Step 4: Simplify right side
    3,140.65x = 46,199,740.02
  5. Step 5: Solve for x
    x = 46,199,740.02/3,140.65
  6. Step 6: Final answer
    x = 14,710.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.