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Finding the Third Proportional to 6,588.53 and 14,118.68

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Solution

The third proportional to 6,588.53 and 14,118.68 is: 30,255.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,588.53 : 14,118.68 = 14,118.68 : x
  2. Step 2: Convert to fraction form
    6,588.53/14,118.68 = 14,118.68/x
  3. Step 3: Cross multiply
    6,588.53x = 14,118.68 × 14,118.68
  4. Step 4: Simplify right side
    6,588.53x = 199,337,116.12
  5. Step 5: Solve for x
    x = 199,337,116.12/6,588.53
  6. Step 6: Final answer
    x = 30,255.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.