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Finding the Third Proportional to 7,011 and 9,829

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Solution

The third proportional to 7,011 and 9,829 is: 13,779.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,011 : 9,829 = 9,829 : x
  2. Step 2: Convert to fraction form
    7,011/9,829 = 9,829/x
  3. Step 3: Cross multiply
    7,011x = 9,829 × 9,829
  4. Step 4: Simplify right side
    7,011x = 96,609,241
  5. Step 5: Solve for x
    x = 96,609,241/7,011
  6. Step 6: Final answer
    x = 13,779.67

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.