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Finding the Third Proportional to 981.56 and 1,153.69

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Solution

The third proportional to 981.56 and 1,153.69 is: 1,356.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.56 : 1,153.69 = 1,153.69 : x
  2. Step 2: Convert to fraction form
    981.56/1,153.69 = 1,153.69/x
  3. Step 3: Cross multiply
    981.56x = 1,153.69 × 1,153.69
  4. Step 4: Simplify right side
    981.56x = 1,330,994.85
  5. Step 5: Solve for x
    x = 1,330,994.85/981.56
  6. Step 6: Final answer
    x = 1,356.00

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.