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Finding the Third Proportional to 3,830 and 4,370

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Solution

The third proportional to 3,830 and 4,370 is: 4,986.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830 : 4,370 = 4,370 : x
  2. Step 2: Convert to fraction form
    3,830/4,370 = 4,370/x
  3. Step 3: Cross multiply
    3,830x = 4,370 × 4,370
  4. Step 4: Simplify right side
    3,830x = 19,096,900
  5. Step 5: Solve for x
    x = 19,096,900/3,830
  6. Step 6: Final answer
    x = 4,986.14

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.