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Finding the Third Proportional to 1,233.70 and 1,953.28

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Solution

The third proportional to 1,233.70 and 1,953.28 is: 3,092.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.70 : 1,953.28 = 1,953.28 : x
  2. Step 2: Convert to fraction form
    1,233.70/1,953.28 = 1,953.28/x
  3. Step 3: Cross multiply
    1,233.70x = 1,953.28 × 1,953.28
  4. Step 4: Simplify right side
    1,233.70x = 3,815,307.64
  5. Step 5: Solve for x
    x = 3,815,307.64/1,233.70
  6. Step 6: Final answer
    x = 3,092.57

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.