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Finding the Third Proportional to 955.69 and 2,575.69

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Solution

The third proportional to 955.69 and 2,575.69 is: 6,941.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.69 : 2,575.69 = 2,575.69 : x
  2. Step 2: Convert to fraction form
    955.69/2,575.69 = 2,575.69/x
  3. Step 3: Cross multiply
    955.69x = 2,575.69 × 2,575.69
  4. Step 4: Simplify right side
    955.69x = 6,634,166.10
  5. Step 5: Solve for x
    x = 6,634,166.10/955.69
  6. Step 6: Final answer
    x = 6,941.77

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.