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Finding the Third Proportional to 5,847.75 and 11,156.63

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Solution

The third proportional to 5,847.75 and 11,156.63 is: 21,285.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,847.75 : 11,156.63 = 11,156.63 : x
  2. Step 2: Convert to fraction form
    5,847.75/11,156.63 = 11,156.63/x
  3. Step 3: Cross multiply
    5,847.75x = 11,156.63 × 11,156.63
  4. Step 4: Simplify right side
    5,847.75x = 124,470,281.39
  5. Step 5: Solve for x
    x = 124,470,281.39/5,847.75
  6. Step 6: Final answer
    x = 21,285.16

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.