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Finding the Third Proportional to 25,044 and 39,004

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Solution

The third proportional to 25,044 and 39,004 is: 60,745.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,044 : 39,004 = 39,004 : x
  2. Step 2: Convert to fraction form
    25,044/39,004 = 39,004/x
  3. Step 3: Cross multiply
    25,044x = 39,004 × 39,004
  4. Step 4: Simplify right side
    25,044x = 1,521,312,016
  5. Step 5: Solve for x
    x = 1,521,312,016/25,044
  6. Step 6: Final answer
    x = 60,745.57

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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.