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Finding the Third Proportional to 20,925 and 45,306

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Solution

The third proportional to 20,925 and 45,306 is: 98,094.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,925 : 45,306 = 45,306 : x
  2. Step 2: Convert to fraction form
    20,925/45,306 = 45,306/x
  3. Step 3: Cross multiply
    20,925x = 45,306 × 45,306
  4. Step 4: Simplify right side
    20,925x = 2,052,633,636
  5. Step 5: Solve for x
    x = 2,052,633,636/20,925
  6. Step 6: Final answer
    x = 98,094.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.