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Finding the Third Proportional to 5,421.94 and 6,280.03

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Solution

The third proportional to 5,421.94 and 6,280.03 is: 7,273.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,421.94 : 6,280.03 = 6,280.03 : x
  2. Step 2: Convert to fraction form
    5,421.94/6,280.03 = 6,280.03/x
  3. Step 3: Cross multiply
    5,421.94x = 6,280.03 × 6,280.03
  4. Step 4: Simplify right side
    5,421.94x = 39,438,792.50
  5. Step 5: Solve for x
    x = 39,438,792.50/5,421.94
  6. Step 6: Final answer
    x = 7,273.93

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.