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Finding the Third Proportional to 10,230 and 22,470

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Solution

The third proportional to 10,230 and 22,470 is: 49,354.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,230 : 22,470 = 22,470 : x
  2. Step 2: Convert to fraction form
    10,230/22,470 = 22,470/x
  3. Step 3: Cross multiply
    10,230x = 22,470 × 22,470
  4. Step 4: Simplify right side
    10,230x = 504,900,900
  5. Step 5: Solve for x
    x = 504,900,900/10,230
  6. Step 6: Final answer
    x = 49,354.93

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.