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Finding the Third Proportional to 6,971.63 and 9,751.22

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Solution

The third proportional to 6,971.63 and 9,751.22 is: 13,639.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,971.63 : 9,751.22 = 9,751.22 : x
  2. Step 2: Convert to fraction form
    6,971.63/9,751.22 = 9,751.22/x
  3. Step 3: Cross multiply
    6,971.63x = 9,751.22 × 9,751.22
  4. Step 4: Simplify right side
    6,971.63x = 95,086,267.11
  5. Step 5: Solve for x
    x = 95,086,267.11/6,971.63
  6. Step 6: Final answer
    x = 13,639.04

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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.