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Finding the Third Proportional to 6,498 and 14,035.50

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Solution

The third proportional to 6,498 and 14,035.50 is: 30,316.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498 : 14,035.50 = 14,035.50 : x
  2. Step 2: Convert to fraction form
    6,498/14,035.50 = 14,035.50/x
  3. Step 3: Cross multiply
    6,498x = 14,035.50 × 14,035.50
  4. Step 4: Simplify right side
    6,498x = 196,995,260.25
  5. Step 5: Solve for x
    x = 196,995,260.25/6,498
  6. Step 6: Final answer
    x = 30,316.29

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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.