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Finding the Third Proportional to 25,848 and 37,950.75

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Solution

The third proportional to 25,848 and 37,950.75 is: 55,720.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,848 : 37,950.75 = 37,950.75 : x
  2. Step 2: Convert to fraction form
    25,848/37,950.75 = 37,950.75/x
  3. Step 3: Cross multiply
    25,848x = 37,950.75 × 37,950.75
  4. Step 4: Simplify right side
    25,848x = 1,440,259,425.56
  5. Step 5: Solve for x
    x = 1,440,259,425.56/25,848
  6. Step 6: Final answer
    x = 55,720.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.