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Finding the Third Proportional to 4,316 and 5,642

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Solution

The third proportional to 4,316 and 5,642 is: 7,375.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,316 : 5,642 = 5,642 : x
  2. Step 2: Convert to fraction form
    4,316/5,642 = 5,642/x
  3. Step 3: Cross multiply
    4,316x = 5,642 × 5,642
  4. Step 4: Simplify right side
    4,316x = 31,832,164
  5. Step 5: Solve for x
    x = 31,832,164/4,316
  6. Step 6: Final answer
    x = 7,375.39

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.