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Finding the Third Proportional to 7,591 and 15,557

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Solution

The third proportional to 7,591 and 15,557 is: 31,882.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,591 : 15,557 = 15,557 : x
  2. Step 2: Convert to fraction form
    7,591/15,557 = 15,557/x
  3. Step 3: Cross multiply
    7,591x = 15,557 × 15,557
  4. Step 4: Simplify right side
    7,591x = 242,020,249
  5. Step 5: Solve for x
    x = 242,020,249/7,591
  6. Step 6: Final answer
    x = 31,882.53

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.