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Finding the Third Proportional to 4,532.75 and 9,895.75

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Solution

The third proportional to 4,532.75 and 9,895.75 is: 21,604.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,532.75 : 9,895.75 = 9,895.75 : x
  2. Step 2: Convert to fraction form
    4,532.75/9,895.75 = 9,895.75/x
  3. Step 3: Cross multiply
    4,532.75x = 9,895.75 × 9,895.75
  4. Step 4: Simplify right side
    4,532.75x = 97,925,868.06
  5. Step 5: Solve for x
    x = 97,925,868.06/4,532.75
  6. Step 6: Final answer
    x = 21,604.07

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