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Finding the Third Proportional to 7,506.84 and 17,376.33

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Solution

The third proportional to 7,506.84 and 17,376.33 is: 40,221.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,506.84 : 17,376.33 = 17,376.33 : x
  2. Step 2: Convert to fraction form
    7,506.84/17,376.33 = 17,376.33/x
  3. Step 3: Cross multiply
    7,506.84x = 17,376.33 × 17,376.33
  4. Step 4: Simplify right side
    7,506.84x = 301,936,779.11
  5. Step 5: Solve for x
    x = 301,936,779.11/7,506.84
  6. Step 6: Final answer
    x = 40,221.54

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.