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Finding the Third Proportional to 6,313 and 9,241.50

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Solution

The third proportional to 6,313 and 9,241.50 is: 13,528.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,313 : 9,241.50 = 9,241.50 : x
  2. Step 2: Convert to fraction form
    6,313/9,241.50 = 9,241.50/x
  3. Step 3: Cross multiply
    6,313x = 9,241.50 × 9,241.50
  4. Step 4: Simplify right side
    6,313x = 85,405,322.25
  5. Step 5: Solve for x
    x = 85,405,322.25/6,313
  6. Step 6: Final answer
    x = 13,528.48

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.