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Finding the Third Proportional to 25,925 and 53,485

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Solution

The third proportional to 25,925 and 53,485 is: 110,343.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,925 : 53,485 = 53,485 : x
  2. Step 2: Convert to fraction form
    25,925/53,485 = 53,485/x
  3. Step 3: Cross multiply
    25,925x = 53,485 × 53,485
  4. Step 4: Simplify right side
    25,925x = 2,860,645,225
  5. Step 5: Solve for x
    x = 2,860,645,225/25,925
  6. Step 6: Final answer
    x = 110,343.11

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.