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Finding the Third Proportional to 7,350 and 9,657

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Solution

The third proportional to 7,350 and 9,657 is: 12,688.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,350 : 9,657 = 9,657 : x
  2. Step 2: Convert to fraction form
    7,350/9,657 = 9,657/x
  3. Step 3: Cross multiply
    7,350x = 9,657 × 9,657
  4. Step 4: Simplify right side
    7,350x = 93,257,649
  5. Step 5: Solve for x
    x = 93,257,649/7,350
  6. Step 6: Final answer
    x = 12,688.12

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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.