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Finding the Third Proportional to 45,771.75 and 69,303

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Solution

The third proportional to 45,771.75 and 69,303 is: 104,931.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,771.75 : 69,303 = 69,303 : x
  2. Step 2: Convert to fraction form
    45,771.75/69,303 = 69,303/x
  3. Step 3: Cross multiply
    45,771.75x = 69,303 × 69,303
  4. Step 4: Simplify right side
    45,771.75x = 4,802,905,809
  5. Step 5: Solve for x
    x = 4,802,905,809/45,771.75
  6. Step 6: Final answer
    x = 104,931.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.