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Finding the Third Proportional to 15,159.75 and 33,141

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Solution

The third proportional to 15,159.75 and 33,141 is: 72,450.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,159.75 : 33,141 = 33,141 : x
  2. Step 2: Convert to fraction form
    15,159.75/33,141 = 33,141/x
  3. Step 3: Cross multiply
    15,159.75x = 33,141 × 33,141
  4. Step 4: Simplify right side
    15,159.75x = 1,098,325,881
  5. Step 5: Solve for x
    x = 1,098,325,881/15,159.75
  6. Step 6: Final answer
    x = 72,450.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.