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Finding the Third Proportional to 13,684.13 and 20,624.16

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Solution

The third proportional to 13,684.13 and 20,624.16 is: 31,083.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,684.13 : 20,624.16 = 20,624.16 : x
  2. Step 2: Convert to fraction form
    13,684.13/20,624.16 = 20,624.16/x
  3. Step 3: Cross multiply
    13,684.13x = 20,624.16 × 20,624.16
  4. Step 4: Simplify right side
    13,684.13x = 425,355,821.02
  5. Step 5: Solve for x
    x = 425,355,821.02/13,684.13
  6. Step 6: Final answer
    x = 31,083.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.