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Finding the Third Proportional to 13,679.38 and 29,402.25

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Solution

The third proportional to 13,679.38 and 29,402.25 is: 63,196.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,679.38 : 29,402.25 = 29,402.25 : x
  2. Step 2: Convert to fraction form
    13,679.38/29,402.25 = 29,402.25/x
  3. Step 3: Cross multiply
    13,679.38x = 29,402.25 × 29,402.25
  4. Step 4: Simplify right side
    13,679.38x = 864,492,305.06
  5. Step 5: Solve for x
    x = 864,492,305.06/13,679.38
  6. Step 6: Final answer
    x = 63,196.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.