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Finding the Third Proportional to 6,568.59 and 9,852.89

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Solution

The third proportional to 6,568.59 and 9,852.89 is: 14,779.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,568.59 : 9,852.89 = 9,852.89 : x
  2. Step 2: Convert to fraction form
    6,568.59/9,852.89 = 9,852.89/x
  3. Step 3: Cross multiply
    6,568.59x = 9,852.89 × 9,852.89
  4. Step 4: Simplify right side
    6,568.59x = 97,079,453.67
  5. Step 5: Solve for x
    x = 97,079,453.67/6,568.59
  6. Step 6: Final answer
    x = 14,779.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.