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Finding the Third Proportional to 9,732 and 12,652.50

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Solution

The third proportional to 9,732 and 12,652.50 is: 16,449.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732 : 12,652.50 = 12,652.50 : x
  2. Step 2: Convert to fraction form
    9,732/12,652.50 = 12,652.50/x
  3. Step 3: Cross multiply
    9,732x = 12,652.50 × 12,652.50
  4. Step 4: Simplify right side
    9,732x = 160,085,756.25
  5. Step 5: Solve for x
    x = 160,085,756.25/9,732
  6. Step 6: Final answer
    x = 16,449.42

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.