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Finding the Third Proportional to 6,516 and 14,069.25

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Solution

The third proportional to 6,516 and 14,069.25 is: 30,378.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,516 : 14,069.25 = 14,069.25 : x
  2. Step 2: Convert to fraction form
    6,516/14,069.25 = 14,069.25/x
  3. Step 3: Cross multiply
    6,516x = 14,069.25 × 14,069.25
  4. Step 4: Simplify right side
    6,516x = 197,943,795.56
  5. Step 5: Solve for x
    x = 197,943,795.56/6,516
  6. Step 6: Final answer
    x = 30,378.11

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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.