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Finding the Third Proportional to 14,727.75 and 22,305.75

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Solution

The third proportional to 14,727.75 and 22,305.75 is: 33,782.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,727.75 : 22,305.75 = 22,305.75 : x
  2. Step 2: Convert to fraction form
    14,727.75/22,305.75 = 22,305.75/x
  3. Step 3: Cross multiply
    14,727.75x = 22,305.75 × 22,305.75
  4. Step 4: Simplify right side
    14,727.75x = 497,546,483.06
  5. Step 5: Solve for x
    x = 497,546,483.06/14,727.75
  6. Step 6: Final answer
    x = 33,782.93

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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.