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Finding the Third Proportional to 10,920.63 and 25,671.38

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Solution

The third proportional to 10,920.63 and 25,671.38 is: 60,346.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,920.63 : 25,671.38 = 25,671.38 : x
  2. Step 2: Convert to fraction form
    10,920.63/25,671.38 = 25,671.38/x
  3. Step 3: Cross multiply
    10,920.63x = 25,671.38 × 25,671.38
  4. Step 4: Simplify right side
    10,920.63x = 659,019,494.39
  5. Step 5: Solve for x
    x = 659,019,494.39/10,920.63
  6. Step 6: Final answer
    x = 60,346.32

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.