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Finding the Third Proportional to 908.86 and 1,970.72

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Solution

The third proportional to 908.86 and 1,970.72 is: 4,273.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.86 : 1,970.72 = 1,970.72 : x
  2. Step 2: Convert to fraction form
    908.86/1,970.72 = 1,970.72/x
  3. Step 3: Cross multiply
    908.86x = 1,970.72 × 1,970.72
  4. Step 4: Simplify right side
    908.86x = 3,883,732.39
  5. Step 5: Solve for x
    x = 3,883,732.39/908.86
  6. Step 6: Final answer
    x = 4,273.19

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.