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Finding the Third Proportional to 28,068 and 40,550

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Solution

The third proportional to 28,068 and 40,550 is: 58,582.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,068 : 40,550 = 40,550 : x
  2. Step 2: Convert to fraction form
    28,068/40,550 = 40,550/x
  3. Step 3: Cross multiply
    28,068x = 40,550 × 40,550
  4. Step 4: Simplify right side
    28,068x = 1,644,302,500
  5. Step 5: Solve for x
    x = 1,644,302,500/28,068
  6. Step 6: Final answer
    x = 58,582.82

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.