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Finding the Third Proportional to 25,014 and 39,275

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Solution

The third proportional to 25,014 and 39,275 is: 61,666.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,014 : 39,275 = 39,275 : x
  2. Step 2: Convert to fraction form
    25,014/39,275 = 39,275/x
  3. Step 3: Cross multiply
    25,014x = 39,275 × 39,275
  4. Step 4: Simplify right side
    25,014x = 1,542,525,625
  5. Step 5: Solve for x
    x = 1,542,525,625/25,014
  6. Step 6: Final answer
    x = 61,666.49

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.