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Finding the Third Proportional to 14,023.13 and 29,580.19

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Solution

The third proportional to 14,023.13 and 29,580.19 is: 62,396.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,023.13 : 29,580.19 = 29,580.19 : x
  2. Step 2: Convert to fraction form
    14,023.13/29,580.19 = 29,580.19/x
  3. Step 3: Cross multiply
    14,023.13x = 29,580.19 × 29,580.19
  4. Step 4: Simplify right side
    14,023.13x = 874,987,492.54
  5. Step 5: Solve for x
    x = 874,987,492.54/14,023.13
  6. Step 6: Final answer
    x = 62,396.04

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.