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Finding the Third Proportional to 4,301 and 4,625

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Solution

The third proportional to 4,301 and 4,625 is: 4,973.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,301 : 4,625 = 4,625 : x
  2. Step 2: Convert to fraction form
    4,301/4,625 = 4,625/x
  3. Step 3: Cross multiply
    4,301x = 4,625 × 4,625
  4. Step 4: Simplify right side
    4,301x = 21,390,625
  5. Step 5: Solve for x
    x = 21,390,625/4,301
  6. Step 6: Final answer
    x = 4,973.41

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.