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Finding the Third Proportional to 15,774.75 and 32,886

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Solution

The third proportional to 15,774.75 and 32,886 is: 68,558.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,774.75 : 32,886 = 32,886 : x
  2. Step 2: Convert to fraction form
    15,774.75/32,886 = 32,886/x
  3. Step 3: Cross multiply
    15,774.75x = 32,886 × 32,886
  4. Step 4: Simplify right side
    15,774.75x = 1,081,488,996
  5. Step 5: Solve for x
    x = 1,081,488,996/15,774.75
  6. Step 6: Final answer
    x = 68,558.23

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.