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Finding the Third Proportional to 25,824 and 57,480

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Solution

The third proportional to 25,824 and 57,480 is: 127,941.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,824 : 57,480 = 57,480 : x
  2. Step 2: Convert to fraction form
    25,824/57,480 = 57,480/x
  3. Step 3: Cross multiply
    25,824x = 57,480 × 57,480
  4. Step 4: Simplify right side
    25,824x = 3,303,950,400
  5. Step 5: Solve for x
    x = 3,303,950,400/25,824
  6. Step 6: Final answer
    x = 127,941.08

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.