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Finding the Third Proportional to 2,673.42 and 3,547.97

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Solution

The third proportional to 2,673.42 and 3,547.97 is: 4,708.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,673.42 : 3,547.97 = 3,547.97 : x
  2. Step 2: Convert to fraction form
    2,673.42/3,547.97 = 3,547.97/x
  3. Step 3: Cross multiply
    2,673.42x = 3,547.97 × 3,547.97
  4. Step 4: Simplify right side
    2,673.42x = 12,588,082.25
  5. Step 5: Solve for x
    x = 12,588,082.25/2,673.42
  6. Step 6: Final answer
    x = 4,708.60

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.