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Finding the Third Proportional to 891.75 and 1,952.63

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Solution

The third proportional to 891.75 and 1,952.63 is: 4,275.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.75 : 1,952.63 = 1,952.63 : x
  2. Step 2: Convert to fraction form
    891.75/1,952.63 = 1,952.63/x
  3. Step 3: Cross multiply
    891.75x = 1,952.63 × 1,952.63
  4. Step 4: Simplify right side
    891.75x = 3,812,744.39
  5. Step 5: Solve for x
    x = 3,812,744.39/891.75
  6. Step 6: Final answer
    x = 4,275.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.