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Finding the Third Proportional to 28,824.38 and 36,830.63

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Solution

The third proportional to 28,824.38 and 36,830.63 is: 47,060.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,824.38 : 36,830.63 = 36,830.63 : x
  2. Step 2: Convert to fraction form
    28,824.38/36,830.63 = 36,830.63/x
  3. Step 3: Cross multiply
    28,824.38x = 36,830.63 × 36,830.63
  4. Step 4: Simplify right side
    28,824.38x = 1,356,494,937.89
  5. Step 5: Solve for x
    x = 1,356,494,937.89/28,824.38
  6. Step 6: Final answer
    x = 47,060.69

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.