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Finding the Third Proportional to 4,795.45 and 6,709.08

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Solution

The third proportional to 4,795.45 and 6,709.08 is: 9,386.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,795.45 : 6,709.08 = 6,709.08 : x
  2. Step 2: Convert to fraction form
    4,795.45/6,709.08 = 6,709.08/x
  3. Step 3: Cross multiply
    4,795.45x = 6,709.08 × 6,709.08
  4. Step 4: Simplify right side
    4,795.45x = 45,011,729.29
  5. Step 5: Solve for x
    x = 45,011,729.29/4,795.45
  6. Step 6: Final answer
    x = 9,386.33

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.