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Finding the Third Proportional to 5,101 and 7,017

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Solution

The third proportional to 5,101 and 7,017 is: 9,652.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,101 : 7,017 = 7,017 : x
  2. Step 2: Convert to fraction form
    5,101/7,017 = 7,017/x
  3. Step 3: Cross multiply
    5,101x = 7,017 × 7,017
  4. Step 4: Simplify right side
    5,101x = 49,238,289
  5. Step 5: Solve for x
    x = 49,238,289/5,101
  6. Step 6: Final answer
    x = 9,652.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.