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Finding the Third Proportional to 21,512.34 and 30,240.62

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Solution

The third proportional to 21,512.34 and 30,240.62 is: 42,510.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,512.34 : 30,240.62 = 30,240.62 : x
  2. Step 2: Convert to fraction form
    21,512.34/30,240.62 = 30,240.62/x
  3. Step 3: Cross multiply
    21,512.34x = 30,240.62 × 30,240.62
  4. Step 4: Simplify right side
    21,512.34x = 914,495,341.33
  5. Step 5: Solve for x
    x = 914,495,341.33/21,512.34
  6. Step 6: Final answer
    x = 42,510.27

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.