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Finding the Third Proportional to 6,822.98 and 9,877.57

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Solution

The third proportional to 6,822.98 and 9,877.57 is: 14,299.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,822.98 : 9,877.57 = 9,877.57 : x
  2. Step 2: Convert to fraction form
    6,822.98/9,877.57 = 9,877.57/x
  3. Step 3: Cross multiply
    6,822.98x = 9,877.57 × 9,877.57
  4. Step 4: Simplify right side
    6,822.98x = 97,566,395.28
  5. Step 5: Solve for x
    x = 97,566,395.28/6,822.98
  6. Step 6: Final answer
    x = 14,299.67

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.