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Finding the Third Proportional to 22,200.75 and 31,721.63

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Solution

The third proportional to 22,200.75 and 31,721.63 is: 45,325.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,200.75 : 31,721.63 = 31,721.63 : x
  2. Step 2: Convert to fraction form
    22,200.75/31,721.63 = 31,721.63/x
  3. Step 3: Cross multiply
    22,200.75x = 31,721.63 × 31,721.63
  4. Step 4: Simplify right side
    22,200.75x = 1,006,261,492.64
  5. Step 5: Solve for x
    x = 1,006,261,492.64/22,200.75
  6. Step 6: Final answer
    x = 45,325.56

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.