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Finding the Third Proportional to 15,313.50 and 21,672

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Solution

The third proportional to 15,313.50 and 21,672 is: 30,670.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,313.50 : 21,672 = 21,672 : x
  2. Step 2: Convert to fraction form
    15,313.50/21,672 = 21,672/x
  3. Step 3: Cross multiply
    15,313.50x = 21,672 × 21,672
  4. Step 4: Simplify right side
    15,313.50x = 469,675,584
  5. Step 5: Solve for x
    x = 469,675,584/15,313.50
  6. Step 6: Final answer
    x = 30,670.69

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.