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Finding the Third Proportional to 18,784.50 and 28,650

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Solution

The third proportional to 18,784.50 and 28,650 is: 43,696.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,784.50 : 28,650 = 28,650 : x
  2. Step 2: Convert to fraction form
    18,784.50/28,650 = 28,650/x
  3. Step 3: Cross multiply
    18,784.50x = 28,650 × 28,650
  4. Step 4: Simplify right side
    18,784.50x = 820,822,500
  5. Step 5: Solve for x
    x = 820,822,500/18,784.50
  6. Step 6: Final answer
    x = 43,696.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.