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Finding the Third Proportional to 7,548.19 and 16,554.38

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Solution

The third proportional to 7,548.19 and 16,554.38 is: 36,306.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,548.19 : 16,554.38 = 16,554.38 : x
  2. Step 2: Convert to fraction form
    7,548.19/16,554.38 = 16,554.38/x
  3. Step 3: Cross multiply
    7,548.19x = 16,554.38 × 16,554.38
  4. Step 4: Simplify right side
    7,548.19x = 274,047,331.64
  5. Step 5: Solve for x
    x = 274,047,331.64/7,548.19
  6. Step 6: Final answer
    x = 36,306.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.