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Finding the Third Proportional to 6,294 and 13,830

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Solution

The third proportional to 6,294 and 13,830 is: 30,389.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,294 : 13,830 = 13,830 : x
  2. Step 2: Convert to fraction form
    6,294/13,830 = 13,830/x
  3. Step 3: Cross multiply
    6,294x = 13,830 × 13,830
  4. Step 4: Simplify right side
    6,294x = 191,268,900
  5. Step 5: Solve for x
    x = 191,268,900/6,294
  6. Step 6: Final answer
    x = 30,389.08

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.