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Finding the Third Proportional to 8,903.84 and 16,494.00

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Solution

The third proportional to 8,903.84 and 16,494.00 is: 30,554.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,903.84 : 16,494.00 = 16,494.00 : x
  2. Step 2: Convert to fraction form
    8,903.84/16,494.00 = 16,494.00/x
  3. Step 3: Cross multiply
    8,903.84x = 16,494.00 × 16,494.00
  4. Step 4: Simplify right side
    8,903.84x = 272,052,141.70
  5. Step 5: Solve for x
    x = 272,052,141.70/8,903.84
  6. Step 6: Final answer
    x = 30,554.46

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.