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Finding the Third Proportional to 25,360 and 55,013

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Solution

The third proportional to 25,360 and 55,013 is: 119,338.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,360 : 55,013 = 55,013 : x
  2. Step 2: Convert to fraction form
    25,360/55,013 = 55,013/x
  3. Step 3: Cross multiply
    25,360x = 55,013 × 55,013
  4. Step 4: Simplify right side
    25,360x = 3,026,430,169
  5. Step 5: Solve for x
    x = 3,026,430,169/25,360
  6. Step 6: Final answer
    x = 119,338.73

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Why These Related Problems?

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