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Finding the Third Proportional to 6,554.81 and 9,832.78

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Solution

The third proportional to 6,554.81 and 9,832.78 is: 14,750.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,554.81 : 9,832.78 = 9,832.78 : x
  2. Step 2: Convert to fraction form
    6,554.81/9,832.78 = 9,832.78/x
  3. Step 3: Cross multiply
    6,554.81x = 9,832.78 × 9,832.78
  4. Step 4: Simplify right side
    6,554.81x = 96,683,587.11
  5. Step 5: Solve for x
    x = 96,683,587.11/6,554.81
  6. Step 6: Final answer
    x = 14,750.02

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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.