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Finding the Third Proportional to 3,024 and 4,566.38

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Solution

The third proportional to 3,024 and 4,566.38 is: 6,895.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,024 : 4,566.38 = 4,566.38 : x
  2. Step 2: Convert to fraction form
    3,024/4,566.38 = 4,566.38/x
  3. Step 3: Cross multiply
    3,024x = 4,566.38 × 4,566.38
  4. Step 4: Simplify right side
    3,024x = 20,851,780.64
  5. Step 5: Solve for x
    x = 20,851,780.64/3,024
  6. Step 6: Final answer
    x = 6,895.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.