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Finding the Third Proportional to 1,547.44 and 3,629.81

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Solution

The third proportional to 1,547.44 and 3,629.81 is: 8,514.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.44 : 3,629.81 = 3,629.81 : x
  2. Step 2: Convert to fraction form
    1,547.44/3,629.81 = 3,629.81/x
  3. Step 3: Cross multiply
    1,547.44x = 3,629.81 × 3,629.81
  4. Step 4: Simplify right side
    1,547.44x = 13,175,538.79
  5. Step 5: Solve for x
    x = 13,175,538.79/1,547.44
  6. Step 6: Final answer
    x = 8,514.42

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.