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Finding the Third Proportional to 1,277.23 and 1,952.93

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Solution

The third proportional to 1,277.23 and 1,952.93 is: 2,986.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.23 : 1,952.93 = 1,952.93 : x
  2. Step 2: Convert to fraction form
    1,277.23/1,952.93 = 1,952.93/x
  3. Step 3: Cross multiply
    1,277.23x = 1,952.93 × 1,952.93
  4. Step 4: Simplify right side
    1,277.23x = 3,813,934.36
  5. Step 5: Solve for x
    x = 3,813,934.36/1,277.23
  6. Step 6: Final answer
    x = 2,986.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.