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Finding the Third Proportional to 13,132.88 and 29,181.75

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Solution

The third proportional to 13,132.88 and 29,181.75 is: 64,842.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,132.88 : 29,181.75 = 29,181.75 : x
  2. Step 2: Convert to fraction form
    13,132.88/29,181.75 = 29,181.75/x
  3. Step 3: Cross multiply
    13,132.88x = 29,181.75 × 29,181.75
  4. Step 4: Simplify right side
    13,132.88x = 851,574,533.06
  5. Step 5: Solve for x
    x = 851,574,533.06/13,132.88
  6. Step 6: Final answer
    x = 64,842.96

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.