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Finding the Third Proportional to 2,364.75 and 6,155.63

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Solution

The third proportional to 2,364.75 and 6,155.63 is: 16,023.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.75 : 6,155.63 = 6,155.63 : x
  2. Step 2: Convert to fraction form
    2,364.75/6,155.63 = 6,155.63/x
  3. Step 3: Cross multiply
    2,364.75x = 6,155.63 × 6,155.63
  4. Step 4: Simplify right side
    2,364.75x = 37,891,719.14
  5. Step 5: Solve for x
    x = 37,891,719.14/2,364.75
  6. Step 6: Final answer
    x = 16,023.56

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.