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Finding the Third Proportional to 7,000.50 and 14,649.19

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Solution

The third proportional to 7,000.50 and 14,649.19 is: 30,654.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,000.50 : 14,649.19 = 14,649.19 : x
  2. Step 2: Convert to fraction form
    7,000.50/14,649.19 = 14,649.19/x
  3. Step 3: Cross multiply
    7,000.50x = 14,649.19 × 14,649.19
  4. Step 4: Simplify right side
    7,000.50x = 214,598,694.41
  5. Step 5: Solve for x
    x = 214,598,694.41/7,000.50
  6. Step 6: Final answer
    x = 30,654.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.