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Finding the Third Proportional to 6,975.65 and 15,261.22

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Solution

The third proportional to 6,975.65 and 15,261.22 is: 33,388.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,975.65 : 15,261.22 = 15,261.22 : x
  2. Step 2: Convert to fraction form
    6,975.65/15,261.22 = 15,261.22/x
  3. Step 3: Cross multiply
    6,975.65x = 15,261.22 × 15,261.22
  4. Step 4: Simplify right side
    6,975.65x = 232,904,916.96
  5. Step 5: Solve for x
    x = 232,904,916.96/6,975.65
  6. Step 6: Final answer
    x = 33,388.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.