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Finding the Third Proportional to 1,927.97 and 3,925.13

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Solution

The third proportional to 1,927.97 and 3,925.13 is: 7,991.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,927.97 : 3,925.13 = 3,925.13 : x
  2. Step 2: Convert to fraction form
    1,927.97/3,925.13 = 3,925.13/x
  3. Step 3: Cross multiply
    1,927.97x = 3,925.13 × 3,925.13
  4. Step 4: Simplify right side
    1,927.97x = 15,406,606.27
  5. Step 5: Solve for x
    x = 15,406,606.27/1,927.97
  6. Step 6: Final answer
    x = 7,991.11

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.