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Finding the Third Proportional to 7,557 and 13,611

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Solution

The third proportional to 7,557 and 13,611 is: 24,514.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,557 : 13,611 = 13,611 : x
  2. Step 2: Convert to fraction form
    7,557/13,611 = 13,611/x
  3. Step 3: Cross multiply
    7,557x = 13,611 × 13,611
  4. Step 4: Simplify right side
    7,557x = 185,259,321
  5. Step 5: Solve for x
    x = 185,259,321/7,557
  6. Step 6: Final answer
    x = 24,514.93

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.