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Finding the Third Proportional to 6,974.63 and 9,777.75

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Solution

The third proportional to 6,974.63 and 9,777.75 is: 13,707.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,974.63 : 9,777.75 = 9,777.75 : x
  2. Step 2: Convert to fraction form
    6,974.63/9,777.75 = 9,777.75/x
  3. Step 3: Cross multiply
    6,974.63x = 9,777.75 × 9,777.75
  4. Step 4: Simplify right side
    6,974.63x = 95,604,395.06
  5. Step 5: Solve for x
    x = 95,604,395.06/6,974.63
  6. Step 6: Final answer
    x = 13,707.46

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.