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Finding the Third Proportional to 13,582 and 19,886

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Solution

The third proportional to 13,582 and 19,886 is: 29,115.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,582 : 19,886 = 19,886 : x
  2. Step 2: Convert to fraction form
    13,582/19,886 = 19,886/x
  3. Step 3: Cross multiply
    13,582x = 19,886 × 19,886
  4. Step 4: Simplify right side
    13,582x = 395,452,996
  5. Step 5: Solve for x
    x = 395,452,996/13,582
  6. Step 6: Final answer
    x = 29,115.96

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.