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Finding the Third Proportional to 6,720.25 and 14,590.25

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Solution

The third proportional to 6,720.25 and 14,590.25 is: 31,676.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,720.25 : 14,590.25 = 14,590.25 : x
  2. Step 2: Convert to fraction form
    6,720.25/14,590.25 = 14,590.25/x
  3. Step 3: Cross multiply
    6,720.25x = 14,590.25 × 14,590.25
  4. Step 4: Simplify right side
    6,720.25x = 212,875,395.06
  5. Step 5: Solve for x
    x = 212,875,395.06/6,720.25
  6. Step 6: Final answer
    x = 31,676.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.