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Finding the Third Proportional to 3,570.75 and 7,905.38

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Solution

The third proportional to 3,570.75 and 7,905.38 is: 17,501.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,570.75 : 7,905.38 = 7,905.38 : x
  2. Step 2: Convert to fraction form
    3,570.75/7,905.38 = 7,905.38/x
  3. Step 3: Cross multiply
    3,570.75x = 7,905.38 × 7,905.38
  4. Step 4: Simplify right side
    3,570.75x = 62,494,953.89
  5. Step 5: Solve for x
    x = 62,494,953.89/3,570.75
  6. Step 6: Final answer
    x = 17,501.91

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.