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Finding the Third Proportional to 4,024.69 and 4,389.19

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Solution

The third proportional to 4,024.69 and 4,389.19 is: 4,786.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,024.69 : 4,389.19 = 4,389.19 : x
  2. Step 2: Convert to fraction form
    4,024.69/4,389.19 = 4,389.19/x
  3. Step 3: Cross multiply
    4,024.69x = 4,389.19 × 4,389.19
  4. Step 4: Simplify right side
    4,024.69x = 19,264,966.91
  5. Step 5: Solve for x
    x = 19,264,966.91/4,024.69
  6. Step 6: Final answer
    x = 4,786.70

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.