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Finding the Third Proportional to 981.50 and 2,411.75

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Solution

The third proportional to 981.50 and 2,411.75 is: 5,926.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.50 : 2,411.75 = 2,411.75 : x
  2. Step 2: Convert to fraction form
    981.50/2,411.75 = 2,411.75/x
  3. Step 3: Cross multiply
    981.50x = 2,411.75 × 2,411.75
  4. Step 4: Simplify right side
    981.50x = 5,816,538.06
  5. Step 5: Solve for x
    x = 5,816,538.06/981.50
  6. Step 6: Final answer
    x = 5,926.17

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Why These Related Problems?

These problems maintain the same ratio (2.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.