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Finding the Third Proportional to 25,299 and 37,950.75

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Solution

The third proportional to 25,299 and 37,950.75 is: 56,929.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,299 : 37,950.75 = 37,950.75 : x
  2. Step 2: Convert to fraction form
    25,299/37,950.75 = 37,950.75/x
  3. Step 3: Cross multiply
    25,299x = 37,950.75 × 37,950.75
  4. Step 4: Simplify right side
    25,299x = 1,440,259,425.56
  5. Step 5: Solve for x
    x = 1,440,259,425.56/25,299
  6. Step 6: Final answer
    x = 56,929.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.