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Finding the Third Proportional to 7,677 and 18,069.75

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Solution

The third proportional to 7,677 and 18,069.75 is: 42,531.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677 : 18,069.75 = 18,069.75 : x
  2. Step 2: Convert to fraction form
    7,677/18,069.75 = 18,069.75/x
  3. Step 3: Cross multiply
    7,677x = 18,069.75 × 18,069.75
  4. Step 4: Simplify right side
    7,677x = 326,515,865.06
  5. Step 5: Solve for x
    x = 326,515,865.06/7,677
  6. Step 6: Final answer
    x = 42,531.70

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.