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Finding the Third Proportional to 25,927 and 55,409

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Solution

The third proportional to 25,927 and 55,409 is: 118,415.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,927 : 55,409 = 55,409 : x
  2. Step 2: Convert to fraction form
    25,927/55,409 = 55,409/x
  3. Step 3: Cross multiply
    25,927x = 55,409 × 55,409
  4. Step 4: Simplify right side
    25,927x = 3,070,157,281
  5. Step 5: Solve for x
    x = 3,070,157,281/25,927
  6. Step 6: Final answer
    x = 118,415.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.