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Finding the Third Proportional to 36,946.75 and 57,326

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Solution

The third proportional to 36,946.75 and 57,326 is: 88,946.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,946.75 : 57,326 = 57,326 : x
  2. Step 2: Convert to fraction form
    36,946.75/57,326 = 57,326/x
  3. Step 3: Cross multiply
    36,946.75x = 57,326 × 57,326
  4. Step 4: Simplify right side
    36,946.75x = 3,286,270,276
  5. Step 5: Solve for x
    x = 3,286,270,276/36,946.75
  6. Step 6: Final answer
    x = 88,946.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.