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Finding the Third Proportional to 13,582 and 29,036

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Solution

The third proportional to 13,582 and 29,036 is: 62,074.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,582 : 29,036 = 29,036 : x
  2. Step 2: Convert to fraction form
    13,582/29,036 = 29,036/x
  3. Step 3: Cross multiply
    13,582x = 29,036 × 29,036
  4. Step 4: Simplify right side
    13,582x = 843,089,296
  5. Step 5: Solve for x
    x = 843,089,296/13,582
  6. Step 6: Final answer
    x = 62,074.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.