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Finding the Third Proportional to 4,180.36 and 5,547.23

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Solution

The third proportional to 4,180.36 and 5,547.23 is: 7,361.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,180.36 : 5,547.23 = 5,547.23 : x
  2. Step 2: Convert to fraction form
    4,180.36/5,547.23 = 5,547.23/x
  3. Step 3: Cross multiply
    4,180.36x = 5,547.23 × 5,547.23
  4. Step 4: Simplify right side
    4,180.36x = 30,771,809.21
  5. Step 5: Solve for x
    x = 30,771,809.21/4,180.36
  6. Step 6: Final answer
    x = 7,361.04

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1.5x scale

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.