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Finding the Third Proportional to 7,085.81 and 15,273.56

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Solution

The third proportional to 7,085.81 and 15,273.56 is: 32,922.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,085.81 : 15,273.56 = 15,273.56 : x
  2. Step 2: Convert to fraction form
    7,085.81/15,273.56 = 15,273.56/x
  3. Step 3: Cross multiply
    7,085.81x = 15,273.56 × 15,273.56
  4. Step 4: Simplify right side
    7,085.81x = 233,281,711.44
  5. Step 5: Solve for x
    x = 233,281,711.44/7,085.81
  6. Step 6: Final answer
    x = 32,922.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.