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Finding the Third Proportional to 25,345 and 39,758

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Solution

The third proportional to 25,345 and 39,758 is: 62,367.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,345 : 39,758 = 39,758 : x
  2. Step 2: Convert to fraction form
    25,345/39,758 = 39,758/x
  3. Step 3: Cross multiply
    25,345x = 39,758 × 39,758
  4. Step 4: Simplify right side
    25,345x = 1,580,698,564
  5. Step 5: Solve for x
    x = 1,580,698,564/25,345
  6. Step 6: Final answer
    x = 62,367.27

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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.