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Finding the Third Proportional to 13,137.19 and 29,068.88

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Solution

The third proportional to 13,137.19 and 29,068.88 is: 64,321.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,137.19 : 29,068.88 = 29,068.88 : x
  2. Step 2: Convert to fraction form
    13,137.19/29,068.88 = 29,068.88/x
  3. Step 3: Cross multiply
    13,137.19x = 29,068.88 × 29,068.88
  4. Step 4: Simplify right side
    13,137.19x = 844,999,493.77
  5. Step 5: Solve for x
    x = 844,999,493.77/13,137.19
  6. Step 6: Final answer
    x = 64,321.19

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.