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Finding the Third Proportional to 15,856 and 25,104

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Solution

The third proportional to 15,856 and 25,104 is: 39,745.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,856 : 25,104 = 25,104 : x
  2. Step 2: Convert to fraction form
    15,856/25,104 = 25,104/x
  3. Step 3: Cross multiply
    15,856x = 25,104 × 25,104
  4. Step 4: Simplify right side
    15,856x = 630,210,816
  5. Step 5: Solve for x
    x = 630,210,816/15,856
  6. Step 6: Final answer
    x = 39,745.89

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.