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Finding the Third Proportional to 25,470 and 55,788

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Solution

The third proportional to 25,470 and 55,788 is: 122,194.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,470 : 55,788 = 55,788 : x
  2. Step 2: Convert to fraction form
    25,470/55,788 = 55,788/x
  3. Step 3: Cross multiply
    25,470x = 55,788 × 55,788
  4. Step 4: Simplify right side
    25,470x = 3,112,300,944
  5. Step 5: Solve for x
    x = 3,112,300,944/25,470
  6. Step 6: Final answer
    x = 122,194.78

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.