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Finding the Third Proportional to 25,050 and 39,013

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Solution

The third proportional to 25,050 and 39,013 is: 60,759.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,050 : 39,013 = 39,013 : x
  2. Step 2: Convert to fraction form
    25,050/39,013 = 39,013/x
  3. Step 3: Cross multiply
    25,050x = 39,013 × 39,013
  4. Step 4: Simplify right side
    25,050x = 1,522,014,169
  5. Step 5: Solve for x
    x = 1,522,014,169/25,050
  6. Step 6: Final answer
    x = 60,759.05

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.