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Finding the Third Proportional to 9,645 and 12,604.50

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Solution

The third proportional to 9,645 and 12,604.50 is: 16,472.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,645 : 12,604.50 = 12,604.50 : x
  2. Step 2: Convert to fraction form
    9,645/12,604.50 = 12,604.50/x
  3. Step 3: Cross multiply
    9,645x = 12,604.50 × 12,604.50
  4. Step 4: Simplify right side
    9,645x = 158,873,420.25
  5. Step 5: Solve for x
    x = 158,873,420.25/9,645
  6. Step 6: Final answer
    x = 16,472.10

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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.