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Finding the Third Proportional to 995.06 and 1,702.13

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Solution

The third proportional to 995.06 and 1,702.13 is: 2,911.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.06 : 1,702.13 = 1,702.13 : x
  2. Step 2: Convert to fraction form
    995.06/1,702.13 = 1,702.13/x
  3. Step 3: Cross multiply
    995.06x = 1,702.13 × 1,702.13
  4. Step 4: Simplify right side
    995.06x = 2,897,229.52
  5. Step 5: Solve for x
    x = 2,897,229.52/995.06
  6. Step 6: Final answer
    x = 2,911.61

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.