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Finding the Third Proportional to 7,014 and 7,998

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Solution

The third proportional to 7,014 and 7,998 is: 9,120.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,014 : 7,998 = 7,998 : x
  2. Step 2: Convert to fraction form
    7,014/7,998 = 7,998/x
  3. Step 3: Cross multiply
    7,014x = 7,998 × 7,998
  4. Step 4: Simplify right side
    7,014x = 63,968,004
  5. Step 5: Solve for x
    x = 63,968,004/7,014
  6. Step 6: Final answer
    x = 9,120.05

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.