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Finding the Third Proportional to 955.55 and 1,442.81

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Solution

The third proportional to 955.55 and 1,442.81 is: 2,178.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.55 : 1,442.81 = 1,442.81 : x
  2. Step 2: Convert to fraction form
    955.55/1,442.81 = 1,442.81/x
  3. Step 3: Cross multiply
    955.55x = 1,442.81 × 1,442.81
  4. Step 4: Simplify right side
    955.55x = 2,081,707.91
  5. Step 5: Solve for x
    x = 2,081,707.91/955.55
  6. Step 6: Final answer
    x = 2,178.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.