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Finding the Third Proportional to 25,718 and 56,242

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Solution

The third proportional to 25,718 and 56,242 is: 122,994.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,718 : 56,242 = 56,242 : x
  2. Step 2: Convert to fraction form
    25,718/56,242 = 56,242/x
  3. Step 3: Cross multiply
    25,718x = 56,242 × 56,242
  4. Step 4: Simplify right side
    25,718x = 3,163,162,564
  5. Step 5: Solve for x
    x = 3,163,162,564/25,718
  6. Step 6: Final answer
    x = 122,994.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.