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Finding the Third Proportional to 6,720.47 and 14,209.80

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Solution

The third proportional to 6,720.47 and 14,209.80 is: 30,045.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,720.47 : 14,209.80 = 14,209.80 : x
  2. Step 2: Convert to fraction form
    6,720.47/14,209.80 = 14,209.80/x
  3. Step 3: Cross multiply
    6,720.47x = 14,209.80 × 14,209.80
  4. Step 4: Simplify right side
    6,720.47x = 201,918,549.26
  5. Step 5: Solve for x
    x = 201,918,549.26/6,720.47
  6. Step 6: Final answer
    x = 30,045.31

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.