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Finding the Third Proportional to 6,499 and 9,806.50

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Solution

The third proportional to 6,499 and 9,806.50 is: 14,797.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499 : 9,806.50 = 9,806.50 : x
  2. Step 2: Convert to fraction form
    6,499/9,806.50 = 9,806.50/x
  3. Step 3: Cross multiply
    6,499x = 9,806.50 × 9,806.50
  4. Step 4: Simplify right side
    6,499x = 96,167,442.25
  5. Step 5: Solve for x
    x = 96,167,442.25/6,499
  6. Step 6: Final answer
    x = 14,797.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.