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Finding the Third Proportional to 5,972.63 and 13,150.13

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Solution

The third proportional to 5,972.63 and 13,150.13 is: 28,953.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,972.63 : 13,150.13 = 13,150.13 : x
  2. Step 2: Convert to fraction form
    5,972.63/13,150.13 = 13,150.13/x
  3. Step 3: Cross multiply
    5,972.63x = 13,150.13 × 13,150.13
  4. Step 4: Simplify right side
    5,972.63x = 172,925,787.52
  5. Step 5: Solve for x
    x = 172,925,787.52/5,972.63
  6. Step 6: Final answer
    x = 28,953.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.