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Finding the Third Proportional to 25,851 and 53,319

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Solution

The third proportional to 25,851 and 53,319 is: 109,973.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,851 : 53,319 = 53,319 : x
  2. Step 2: Convert to fraction form
    25,851/53,319 = 53,319/x
  3. Step 3: Cross multiply
    25,851x = 53,319 × 53,319
  4. Step 4: Simplify right side
    25,851x = 2,842,915,761
  5. Step 5: Solve for x
    x = 2,842,915,761/25,851
  6. Step 6: Final answer
    x = 109,973.14

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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.