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Finding the Third Proportional to 20,931.75 and 49,290.75

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Solution

The third proportional to 20,931.75 and 49,290.75 is: 116,071.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,931.75 : 49,290.75 = 49,290.75 : x
  2. Step 2: Convert to fraction form
    20,931.75/49,290.75 = 49,290.75/x
  3. Step 3: Cross multiply
    20,931.75x = 49,290.75 × 49,290.75
  4. Step 4: Simplify right side
    20,931.75x = 2,429,578,035.56
  5. Step 5: Solve for x
    x = 2,429,578,035.56/20,931.75
  6. Step 6: Final answer
    x = 116,071.42

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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.