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Finding the Third Proportional to 461.95 and 991.93

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Solution

The third proportional to 461.95 and 991.93 is: 2,129.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.95 : 991.93 = 991.93 : x
  2. Step 2: Convert to fraction form
    461.95/991.93 = 991.93/x
  3. Step 3: Cross multiply
    461.95x = 991.93 × 991.93
  4. Step 4: Simplify right side
    461.95x = 983,932.25
  5. Step 5: Solve for x
    x = 983,932.25/461.95
  6. Step 6: Final answer
    x = 2,129.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.