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Finding the Third Proportional to 8,596.13 and 9,851.63

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Solution

The third proportional to 8,596.13 and 9,851.63 is: 11,290.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,596.13 : 9,851.63 = 9,851.63 : x
  2. Step 2: Convert to fraction form
    8,596.13/9,851.63 = 9,851.63/x
  3. Step 3: Cross multiply
    8,596.13x = 9,851.63 × 9,851.63
  4. Step 4: Simplify right side
    8,596.13x = 97,054,515.14
  5. Step 5: Solve for x
    x = 97,054,515.14/8,596.13
  6. Step 6: Final answer
    x = 11,290.50

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.