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Finding the Third Proportional to 1,091.84 and 1,702.63

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Solution

The third proportional to 1,091.84 and 1,702.63 is: 2,655.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.84 : 1,702.63 = 1,702.63 : x
  2. Step 2: Convert to fraction form
    1,091.84/1,702.63 = 1,702.63/x
  3. Step 3: Cross multiply
    1,091.84x = 1,702.63 × 1,702.63
  4. Step 4: Simplify right side
    1,091.84x = 2,898,953.92
  5. Step 5: Solve for x
    x = 2,898,953.92/1,091.84
  6. Step 6: Final answer
    x = 2,655.11

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.