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Finding the Third Proportional to 20,938 and 45,332

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Solution

The third proportional to 20,938 and 45,332 is: 98,146.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,938 : 45,332 = 45,332 : x
  2. Step 2: Convert to fraction form
    20,938/45,332 = 45,332/x
  3. Step 3: Cross multiply
    20,938x = 45,332 × 45,332
  4. Step 4: Simplify right side
    20,938x = 2,054,990,224
  5. Step 5: Solve for x
    x = 2,054,990,224/20,938
  6. Step 6: Final answer
    x = 98,146.44

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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.