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Finding the Third Proportional to 955.55 and 1,925.96

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Solution

The third proportional to 955.55 and 1,925.96 is: 3,881.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.55 : 1,925.96 = 1,925.96 : x
  2. Step 2: Convert to fraction form
    955.55/1,925.96 = 1,925.96/x
  3. Step 3: Cross multiply
    955.55x = 1,925.96 × 1,925.96
  4. Step 4: Simplify right side
    955.55x = 3,709,340.58
  5. Step 5: Solve for x
    x = 3,709,340.58/955.55
  6. Step 6: Final answer
    x = 3,881.90

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.