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Finding the Third Proportional to 25,580 and 54,713

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Solution

The third proportional to 25,580 and 54,713 is: 117,025.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,580 : 54,713 = 54,713 : x
  2. Step 2: Convert to fraction form
    25,580/54,713 = 54,713/x
  3. Step 3: Cross multiply
    25,580x = 54,713 × 54,713
  4. Step 4: Simplify right side
    25,580x = 2,993,512,369
  5. Step 5: Solve for x
    x = 2,993,512,369/25,580
  6. Step 6: Final answer
    x = 117,025.50

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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.