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Finding the Third Proportional to 6,688.13 and 14,645.25

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Solution

The third proportional to 6,688.13 and 14,645.25 is: 32,069.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,688.13 : 14,645.25 = 14,645.25 : x
  2. Step 2: Convert to fraction form
    6,688.13/14,645.25 = 14,645.25/x
  3. Step 3: Cross multiply
    6,688.13x = 14,645.25 × 14,645.25
  4. Step 4: Simplify right side
    6,688.13x = 214,483,347.56
  5. Step 5: Solve for x
    x = 214,483,347.56/6,688.13
  6. Step 6: Final answer
    x = 32,069.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.