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Finding the Third Proportional to 21,066 and 45,597

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Solution

The third proportional to 21,066 and 45,597 is: 98,693.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,066 : 45,597 = 45,597 : x
  2. Step 2: Convert to fraction form
    21,066/45,597 = 45,597/x
  3. Step 3: Cross multiply
    21,066x = 45,597 × 45,597
  4. Step 4: Simplify right side
    21,066x = 2,079,086,409
  5. Step 5: Solve for x
    x = 2,079,086,409/21,066
  6. Step 6: Final answer
    x = 98,693.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.