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Finding the Third Proportional to 9,045.84 and 13,625.72

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Solution

The third proportional to 9,045.84 and 13,625.72 is: 20,524.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,045.84 : 13,625.72 = 13,625.72 : x
  2. Step 2: Convert to fraction form
    9,045.84/13,625.72 = 13,625.72/x
  3. Step 3: Cross multiply
    9,045.84x = 13,625.72 × 13,625.72
  4. Step 4: Simplify right side
    9,045.84x = 185,660,211.45
  5. Step 5: Solve for x
    x = 185,660,211.45/9,045.84
  6. Step 6: Final answer
    x = 20,524.37

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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.