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Finding the Third Proportional to 25,894.69 and 36,655.03

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Solution

The third proportional to 25,894.69 and 36,655.03 is: 51,886.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,894.69 : 36,655.03 = 36,655.03 : x
  2. Step 2: Convert to fraction form
    25,894.69/36,655.03 = 36,655.03/x
  3. Step 3: Cross multiply
    25,894.69x = 36,655.03 × 36,655.03
  4. Step 4: Simplify right side
    25,894.69x = 1,343,591,315.94
  5. Step 5: Solve for x
    x = 1,343,591,315.94/25,894.69
  6. Step 6: Final answer
    x = 51,886.76

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.