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Finding the Third Proportional to 4,882.50 and 10,653.75

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Solution

The third proportional to 4,882.50 and 10,653.75 is: 23,246.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,882.50 : 10,653.75 = 10,653.75 : x
  2. Step 2: Convert to fraction form
    4,882.50/10,653.75 = 10,653.75/x
  3. Step 3: Cross multiply
    4,882.50x = 10,653.75 × 10,653.75
  4. Step 4: Simplify right side
    4,882.50x = 113,502,389.06
  5. Step 5: Solve for x
    x = 113,502,389.06/4,882.50
  6. Step 6: Final answer
    x = 23,246.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.