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Finding the Third Proportional to 2,978.65 and 6,476.04

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Solution

The third proportional to 2,978.65 and 6,476.04 is: 14,079.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.65 : 6,476.04 = 6,476.04 : x
  2. Step 2: Convert to fraction form
    2,978.65/6,476.04 = 6,476.04/x
  3. Step 3: Cross multiply
    2,978.65x = 6,476.04 × 6,476.04
  4. Step 4: Simplify right side
    2,978.65x = 41,939,157.83
  5. Step 5: Solve for x
    x = 41,939,157.83/2,978.65
  6. Step 6: Final answer
    x = 14,079.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.