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Finding the Third Proportional to 5,801.63 and 13,429.13

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Solution

The third proportional to 5,801.63 and 13,429.13 is: 31,084.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,801.63 : 13,429.13 = 13,429.13 : x
  2. Step 2: Convert to fraction form
    5,801.63/13,429.13 = 13,429.13/x
  3. Step 3: Cross multiply
    5,801.63x = 13,429.13 × 13,429.13
  4. Step 4: Simplify right side
    5,801.63x = 180,341,398.27
  5. Step 5: Solve for x
    x = 180,341,398.27/5,801.63
  6. Step 6: Final answer
    x = 31,084.64

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.