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Finding the Third Proportional to 1,187.06 and 1,770.94

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Solution

The third proportional to 1,187.06 and 1,770.94 is: 2,642.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.06 : 1,770.94 = 1,770.94 : x
  2. Step 2: Convert to fraction form
    1,187.06/1,770.94 = 1,770.94/x
  3. Step 3: Cross multiply
    1,187.06x = 1,770.94 × 1,770.94
  4. Step 4: Simplify right side
    1,187.06x = 3,136,219.63
  5. Step 5: Solve for x
    x = 3,136,219.63/1,187.06
  6. Step 6: Final answer
    x = 2,642.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.