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Finding the Third Proportional to 15,411.75 and 31,551.75

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Solution

The third proportional to 15,411.75 and 31,551.75 is: 64,594.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,411.75 : 31,551.75 = 31,551.75 : x
  2. Step 2: Convert to fraction form
    15,411.75/31,551.75 = 31,551.75/x
  3. Step 3: Cross multiply
    15,411.75x = 31,551.75 × 31,551.75
  4. Step 4: Simplify right side
    15,411.75x = 995,512,928.06
  5. Step 5: Solve for x
    x = 995,512,928.06/15,411.75
  6. Step 6: Final answer
    x = 64,594.41

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.