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Finding the Third Proportional to 21,042 and 32,340.75

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Solution

The third proportional to 21,042 and 32,340.75 is: 49,706.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,042 : 32,340.75 = 32,340.75 : x
  2. Step 2: Convert to fraction form
    21,042/32,340.75 = 32,340.75/x
  3. Step 3: Cross multiply
    21,042x = 32,340.75 × 32,340.75
  4. Step 4: Simplify right side
    21,042x = 1,045,924,110.56
  5. Step 5: Solve for x
    x = 1,045,924,110.56/21,042
  6. Step 6: Final answer
    x = 49,706.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.