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Finding the Third Proportional to 7,809.75 and 18,351.56

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Solution

The third proportional to 7,809.75 and 18,351.56 is: 43,123.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809.75 : 18,351.56 = 18,351.56 : x
  2. Step 2: Convert to fraction form
    7,809.75/18,351.56 = 18,351.56/x
  3. Step 3: Cross multiply
    7,809.75x = 18,351.56 × 18,351.56
  4. Step 4: Simplify right side
    7,809.75x = 336,779,846.19
  5. Step 5: Solve for x
    x = 336,779,846.19/7,809.75
  6. Step 6: Final answer
    x = 43,123.00

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.