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Finding the Third Proportional to 5,847.19 and 7,848.14

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Solution

The third proportional to 5,847.19 and 7,848.14 is: 10,533.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,847.19 : 7,848.14 = 7,848.14 : x
  2. Step 2: Convert to fraction form
    5,847.19/7,848.14 = 7,848.14/x
  3. Step 3: Cross multiply
    5,847.19x = 7,848.14 × 7,848.14
  4. Step 4: Simplify right side
    5,847.19x = 61,593,311.27
  5. Step 5: Solve for x
    x = 61,593,311.27/5,847.19
  6. Step 6: Final answer
    x = 10,533.84

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.