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Finding the Third Proportional to 6,565.75 and 14,054.25

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Solution

The third proportional to 6,565.75 and 14,054.25 is: 30,083.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565.75 : 14,054.25 = 14,054.25 : x
  2. Step 2: Convert to fraction form
    6,565.75/14,054.25 = 14,054.25/x
  3. Step 3: Cross multiply
    6,565.75x = 14,054.25 × 14,054.25
  4. Step 4: Simplify right side
    6,565.75x = 197,521,943.06
  5. Step 5: Solve for x
    x = 197,521,943.06/6,565.75
  6. Step 6: Final answer
    x = 30,083.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.