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Finding the Third Proportional to 25,770 and 55,946

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Solution

The third proportional to 25,770 and 55,946 is: 121,457.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,770 : 55,946 = 55,946 : x
  2. Step 2: Convert to fraction form
    25,770/55,946 = 55,946/x
  3. Step 3: Cross multiply
    25,770x = 55,946 × 55,946
  4. Step 4: Simplify right side
    25,770x = 3,129,954,916
  5. Step 5: Solve for x
    x = 3,129,954,916/25,770
  6. Step 6: Final answer
    x = 121,457.31

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.