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Finding the Third Proportional to 769.13 and 1,184.06

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Solution

The third proportional to 769.13 and 1,184.06 is: 1,822.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.13 : 1,184.06 = 1,184.06 : x
  2. Step 2: Convert to fraction form
    769.13/1,184.06 = 1,184.06/x
  3. Step 3: Cross multiply
    769.13x = 1,184.06 × 1,184.06
  4. Step 4: Simplify right side
    769.13x = 1,402,004.00
  5. Step 5: Solve for x
    x = 1,402,004.00/769.13
  6. Step 6: Final answer
    x = 1,822.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.