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Finding the Third Proportional to 21,218.06 and 23,010.19

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Solution

The third proportional to 21,218.06 and 23,010.19 is: 24,953.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,218.06 : 23,010.19 = 23,010.19 : x
  2. Step 2: Convert to fraction form
    21,218.06/23,010.19 = 23,010.19/x
  3. Step 3: Cross multiply
    21,218.06x = 23,010.19 × 23,010.19
  4. Step 4: Simplify right side
    21,218.06x = 529,468,728.79
  5. Step 5: Solve for x
    x = 529,468,728.79/21,218.06
  6. Step 6: Final answer
    x = 24,953.68

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.