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Finding the Third Proportional to 4,829.16 and 7,311.47

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Solution

The third proportional to 4,829.16 and 7,311.47 is: 11,069.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,829.16 : 7,311.47 = 7,311.47 : x
  2. Step 2: Convert to fraction form
    4,829.16/7,311.47 = 7,311.47/x
  3. Step 3: Cross multiply
    4,829.16x = 7,311.47 × 7,311.47
  4. Step 4: Simplify right side
    4,829.16x = 53,457,575.28
  5. Step 5: Solve for x
    x = 53,457,575.28/4,829.16
  6. Step 6: Final answer
    x = 11,069.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.