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Finding the Third Proportional to 4,536 and 9,657

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Solution

The third proportional to 4,536 and 9,657 is: 20,559.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,536 : 9,657 = 9,657 : x
  2. Step 2: Convert to fraction form
    4,536/9,657 = 9,657/x
  3. Step 3: Cross multiply
    4,536x = 9,657 × 9,657
  4. Step 4: Simplify right side
    4,536x = 93,257,649
  5. Step 5: Solve for x
    x = 93,257,649/4,536
  6. Step 6: Final answer
    x = 20,559.45

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.