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Finding the Third Proportional to 913.13 and 1,368.75

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Solution

The third proportional to 913.13 and 1,368.75 is: 2,051.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.13 : 1,368.75 = 1,368.75 : x
  2. Step 2: Convert to fraction form
    913.13/1,368.75 = 1,368.75/x
  3. Step 3: Cross multiply
    913.13x = 1,368.75 × 1,368.75
  4. Step 4: Simplify right side
    913.13x = 1,873,476.56
  5. Step 5: Solve for x
    x = 1,873,476.56/913.13
  6. Step 6: Final answer
    x = 2,051.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.