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Finding the Third Proportional to 943.75 and 1,953.88

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Solution

The third proportional to 943.75 and 1,953.88 is: 4,045.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.75 : 1,953.88 = 1,953.88 : x
  2. Step 2: Convert to fraction form
    943.75/1,953.88 = 1,953.88/x
  3. Step 3: Cross multiply
    943.75x = 1,953.88 × 1,953.88
  4. Step 4: Simplify right side
    943.75x = 3,817,627.52
  5. Step 5: Solve for x
    x = 3,817,627.52/943.75
  6. Step 6: Final answer
    x = 4,045.17

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.