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Finding the Third Proportional to 20,490 and 30,923.25

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Solution

The third proportional to 20,490 and 30,923.25 is: 46,668.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,490 : 30,923.25 = 30,923.25 : x
  2. Step 2: Convert to fraction form
    20,490/30,923.25 = 30,923.25/x
  3. Step 3: Cross multiply
    20,490x = 30,923.25 × 30,923.25
  4. Step 4: Simplify right side
    20,490x = 956,247,390.56
  5. Step 5: Solve for x
    x = 956,247,390.56/20,490
  6. Step 6: Final answer
    x = 46,668.98

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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.