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Finding the Third Proportional to 4,950 and 5,368.50

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Solution

The third proportional to 4,950 and 5,368.50 is: 5,822.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,950 : 5,368.50 = 5,368.50 : x
  2. Step 2: Convert to fraction form
    4,950/5,368.50 = 5,368.50/x
  3. Step 3: Cross multiply
    4,950x = 5,368.50 × 5,368.50
  4. Step 4: Simplify right side
    4,950x = 28,820,792.25
  5. Step 5: Solve for x
    x = 28,820,792.25/4,950
  6. Step 6: Final answer
    x = 5,822.38

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.