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Finding the Third Proportional to 7,085.53 and 15,446.67

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Solution

The third proportional to 7,085.53 and 15,446.67 is: 33,674.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,085.53 : 15,446.67 = 15,446.67 : x
  2. Step 2: Convert to fraction form
    7,085.53/15,446.67 = 15,446.67/x
  3. Step 3: Cross multiply
    7,085.53x = 15,446.67 × 15,446.67
  4. Step 4: Simplify right side
    7,085.53x = 238,599,672.01
  5. Step 5: Solve for x
    x = 238,599,672.01/7,085.53
  6. Step 6: Final answer
    x = 33,674.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.