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Finding the Third Proportional to 20,838.50 and 32,270

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Solution

The third proportional to 20,838.50 and 32,270 is: 49,972.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,838.50 : 32,270 = 32,270 : x
  2. Step 2: Convert to fraction form
    20,838.50/32,270 = 32,270/x
  3. Step 3: Cross multiply
    20,838.50x = 32,270 × 32,270
  4. Step 4: Simplify right side
    20,838.50x = 1,041,352,900
  5. Step 5: Solve for x
    x = 1,041,352,900/20,838.50
  6. Step 6: Final answer
    x = 49,972.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.