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Finding the Third Proportional to 21,066 and 45,230

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Solution

The third proportional to 21,066 and 45,230 is: 97,111.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,066 : 45,230 = 45,230 : x
  2. Step 2: Convert to fraction form
    21,066/45,230 = 45,230/x
  3. Step 3: Cross multiply
    21,066x = 45,230 × 45,230
  4. Step 4: Simplify right side
    21,066x = 2,045,752,900
  5. Step 5: Solve for x
    x = 2,045,752,900/21,066
  6. Step 6: Final answer
    x = 97,111.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.