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Finding the Third Proportional to 7,176.75 and 15,206.25

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Solution

The third proportional to 7,176.75 and 15,206.25 is: 32,219.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,176.75 : 15,206.25 = 15,206.25 : x
  2. Step 2: Convert to fraction form
    7,176.75/15,206.25 = 15,206.25/x
  3. Step 3: Cross multiply
    7,176.75x = 15,206.25 × 15,206.25
  4. Step 4: Simplify right side
    7,176.75x = 231,230,039.06
  5. Step 5: Solve for x
    x = 231,230,039.06/7,176.75
  6. Step 6: Final answer
    x = 32,219.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.