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Finding the Third Proportional to 25,495 and 55,914.50

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Solution

The third proportional to 25,495 and 55,914.50 is: 122,629.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,495 : 55,914.50 = 55,914.50 : x
  2. Step 2: Convert to fraction form
    25,495/55,914.50 = 55,914.50/x
  3. Step 3: Cross multiply
    25,495x = 55,914.50 × 55,914.50
  4. Step 4: Simplify right side
    25,495x = 3,126,431,310.25
  5. Step 5: Solve for x
    x = 3,126,431,310.25/25,495
  6. Step 6: Final answer
    x = 122,629.19

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Why These Related Problems?

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