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Finding the Third Proportional to 6,630.50 and 14,432.50

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Solution

The third proportional to 6,630.50 and 14,432.50 is: 31,414.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,630.50 : 14,432.50 = 14,432.50 : x
  2. Step 2: Convert to fraction form
    6,630.50/14,432.50 = 14,432.50/x
  3. Step 3: Cross multiply
    6,630.50x = 14,432.50 × 14,432.50
  4. Step 4: Simplify right side
    6,630.50x = 208,297,056.25
  5. Step 5: Solve for x
    x = 208,297,056.25/6,630.50
  6. Step 6: Final answer
    x = 31,414.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.