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Finding the Third Proportional to 8,834.50 and 19,340

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Solution

The third proportional to 8,834.50 and 19,340 is: 42,338.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,834.50 : 19,340 = 19,340 : x
  2. Step 2: Convert to fraction form
    8,834.50/19,340 = 19,340/x
  3. Step 3: Cross multiply
    8,834.50x = 19,340 × 19,340
  4. Step 4: Simplify right side
    8,834.50x = 374,035,600
  5. Step 5: Solve for x
    x = 374,035,600/8,834.50
  6. Step 6: Final answer
    x = 42,338.06

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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.