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Finding the Third Proportional to 4,234 and 5,646

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Solution

The third proportional to 4,234 and 5,646 is: 7,528.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,234 : 5,646 = 5,646 : x
  2. Step 2: Convert to fraction form
    4,234/5,646 = 5,646/x
  3. Step 3: Cross multiply
    4,234x = 5,646 × 5,646
  4. Step 4: Simplify right side
    4,234x = 31,877,316
  5. Step 5: Solve for x
    x = 31,877,316/4,234
  6. Step 6: Final answer
    x = 7,528.89

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.