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Finding the Third Proportional to 7,027 and 10,501

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Solution

The third proportional to 7,027 and 10,501 is: 15,692.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,027 : 10,501 = 10,501 : x
  2. Step 2: Convert to fraction form
    7,027/10,501 = 10,501/x
  3. Step 3: Cross multiply
    7,027x = 10,501 × 10,501
  4. Step 4: Simplify right side
    7,027x = 110,271,001
  5. Step 5: Solve for x
    x = 110,271,001/7,027
  6. Step 6: Final answer
    x = 15,692.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.