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Finding the Third Proportional to 7,710.75 and 15,846.75

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Solution

The third proportional to 7,710.75 and 15,846.75 is: 32,567.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710.75 : 15,846.75 = 15,846.75 : x
  2. Step 2: Convert to fraction form
    7,710.75/15,846.75 = 15,846.75/x
  3. Step 3: Cross multiply
    7,710.75x = 15,846.75 × 15,846.75
  4. Step 4: Simplify right side
    7,710.75x = 251,119,485.56
  5. Step 5: Solve for x
    x = 251,119,485.56/7,710.75
  6. Step 6: Final answer
    x = 32,567.45

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.