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Finding the Third Proportional to 6,549.75 and 9,851.63

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Solution

The third proportional to 6,549.75 and 9,851.63 is: 14,818.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,549.75 : 9,851.63 = 9,851.63 : x
  2. Step 2: Convert to fraction form
    6,549.75/9,851.63 = 9,851.63/x
  3. Step 3: Cross multiply
    6,549.75x = 9,851.63 × 9,851.63
  4. Step 4: Simplify right side
    6,549.75x = 97,054,515.14
  5. Step 5: Solve for x
    x = 97,054,515.14/6,549.75
  6. Step 6: Final answer
    x = 14,818.05

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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.