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Finding the Third Proportional to 25,055 and 35,029

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Solution

The third proportional to 25,055 and 35,029 is: 48,973.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,055 : 35,029 = 35,029 : x
  2. Step 2: Convert to fraction form
    25,055/35,029 = 35,029/x
  3. Step 3: Cross multiply
    25,055x = 35,029 × 35,029
  4. Step 4: Simplify right side
    25,055x = 1,227,030,841
  5. Step 5: Solve for x
    x = 1,227,030,841/25,055
  6. Step 6: Final answer
    x = 48,973.49

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.