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Finding the Third Proportional to 7,006.50 and 14,671.13

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Solution

The third proportional to 7,006.50 and 14,671.13 is: 30,720.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,006.50 : 14,671.13 = 14,671.13 : x
  2. Step 2: Convert to fraction form
    7,006.50/14,671.13 = 14,671.13/x
  3. Step 3: Cross multiply
    7,006.50x = 14,671.13 × 14,671.13
  4. Step 4: Simplify right side
    7,006.50x = 215,241,908.77
  5. Step 5: Solve for x
    x = 215,241,908.77/7,006.50
  6. Step 6: Final answer
    x = 30,720.32

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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.