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Finding the Third Proportional to 7,241 and 15,303

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Solution

The third proportional to 7,241 and 15,303 is: 32,341.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,241 : 15,303 = 15,303 : x
  2. Step 2: Convert to fraction form
    7,241/15,303 = 15,303/x
  3. Step 3: Cross multiply
    7,241x = 15,303 × 15,303
  4. Step 4: Simplify right side
    7,241x = 234,181,809
  5. Step 5: Solve for x
    x = 234,181,809/7,241
  6. Step 6: Final answer
    x = 32,341.09

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.