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Finding the Third Proportional to 3,628.13 and 7,848.56

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Solution

The third proportional to 3,628.13 and 7,848.56 is: 16,978.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,628.13 : 7,848.56 = 7,848.56 : x
  2. Step 2: Convert to fraction form
    3,628.13/7,848.56 = 7,848.56/x
  3. Step 3: Cross multiply
    3,628.13x = 7,848.56 × 7,848.56
  4. Step 4: Simplify right side
    3,628.13x = 61,599,933.32
  5. Step 5: Solve for x
    x = 61,599,933.32/3,628.13
  6. Step 6: Final answer
    x = 16,978.45

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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.