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Finding the Third Proportional to 6,477.75 and 9,813.52

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Solution

The third proportional to 6,477.75 and 9,813.52 is: 14,867.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.75 : 9,813.52 = 9,813.52 : x
  2. Step 2: Convert to fraction form
    6,477.75/9,813.52 = 9,813.52/x
  3. Step 3: Cross multiply
    6,477.75x = 9,813.52 × 9,813.52
  4. Step 4: Simplify right side
    6,477.75x = 96,305,088.92
  5. Step 5: Solve for x
    x = 96,305,088.92/6,477.75
  6. Step 6: Final answer
    x = 14,867.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.