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Finding the Third Proportional to 9,855.28 and 14,885.44

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Solution

The third proportional to 9,855.28 and 14,885.44 is: 22,483.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,855.28 : 14,885.44 = 14,885.44 : x
  2. Step 2: Convert to fraction form
    9,855.28/14,885.44 = 14,885.44/x
  3. Step 3: Cross multiply
    9,855.28x = 14,885.44 × 14,885.44
  4. Step 4: Simplify right side
    9,855.28x = 221,576,249.57
  5. Step 5: Solve for x
    x = 221,576,249.57/9,855.28
  6. Step 6: Final answer
    x = 22,483.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.