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Finding the Third Proportional to 5,536 and 6,460

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Solution

The third proportional to 5,536 and 6,460 is: 7,538.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,536 : 6,460 = 6,460 : x
  2. Step 2: Convert to fraction form
    5,536/6,460 = 6,460/x
  3. Step 3: Cross multiply
    5,536x = 6,460 × 6,460
  4. Step 4: Simplify right side
    5,536x = 41,731,600
  5. Step 5: Solve for x
    x = 41,731,600/5,536
  6. Step 6: Final answer
    x = 7,538.22

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.