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Finding the Third Proportional to 25,332.75 and 38,012.63

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Solution

The third proportional to 25,332.75 and 38,012.63 is: 57,039.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,332.75 : 38,012.63 = 38,012.63 : x
  2. Step 2: Convert to fraction form
    25,332.75/38,012.63 = 38,012.63/x
  3. Step 3: Cross multiply
    25,332.75x = 38,012.63 × 38,012.63
  4. Step 4: Simplify right side
    25,332.75x = 1,444,959,659.39
  5. Step 5: Solve for x
    x = 1,444,959,659.39/25,332.75
  6. Step 6: Final answer
    x = 57,039.19

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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.