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Finding the Third Proportional to 6,316.50 and 13,614

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Solution

The third proportional to 6,316.50 and 13,614 is: 29,342.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,316.50 : 13,614 = 13,614 : x
  2. Step 2: Convert to fraction form
    6,316.50/13,614 = 13,614/x
  3. Step 3: Cross multiply
    6,316.50x = 13,614 × 13,614
  4. Step 4: Simplify right side
    6,316.50x = 185,340,996
  5. Step 5: Solve for x
    x = 185,340,996/6,316.50
  6. Step 6: Final answer
    x = 29,342.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.