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Finding the Third Proportional to 9,579.94 and 14,677.03

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Solution

The third proportional to 9,579.94 and 14,677.03 is: 22,486.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,579.94 : 14,677.03 = 14,677.03 : x
  2. Step 2: Convert to fraction form
    9,579.94/14,677.03 = 14,677.03/x
  3. Step 3: Cross multiply
    9,579.94x = 14,677.03 × 14,677.03
  4. Step 4: Simplify right side
    9,579.94x = 215,415,246.31
  5. Step 5: Solve for x
    x = 215,415,246.31/9,579.94
  6. Step 6: Final answer
    x = 22,486.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.