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Finding the Third Proportional to 7,284 and 17,123.25

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Solution

The third proportional to 7,284 and 17,123.25 is: 40,253.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,284 : 17,123.25 = 17,123.25 : x
  2. Step 2: Convert to fraction form
    7,284/17,123.25 = 17,123.25/x
  3. Step 3: Cross multiply
    7,284x = 17,123.25 × 17,123.25
  4. Step 4: Simplify right side
    7,284x = 293,205,690.56
  5. Step 5: Solve for x
    x = 293,205,690.56/7,284
  6. Step 6: Final answer
    x = 40,253.39

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.