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Finding the Third Proportional to 3,369.09 and 5,547.23

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Solution

The third proportional to 3,369.09 and 5,547.23 is: 9,133.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,369.09 : 5,547.23 = 5,547.23 : x
  2. Step 2: Convert to fraction form
    3,369.09/5,547.23 = 5,547.23/x
  3. Step 3: Cross multiply
    3,369.09x = 5,547.23 × 5,547.23
  4. Step 4: Simplify right side
    3,369.09x = 30,771,809.21
  5. Step 5: Solve for x
    x = 30,771,809.21/3,369.09
  6. Step 6: Final answer
    x = 9,133.56

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.