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Finding the Third Proportional to 27,338.63 and 42,830.44

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Solution

The third proportional to 27,338.63 and 42,830.44 is: 67,100.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,338.63 : 42,830.44 = 42,830.44 : x
  2. Step 2: Convert to fraction form
    27,338.63/42,830.44 = 42,830.44/x
  3. Step 3: Cross multiply
    27,338.63x = 42,830.44 × 42,830.44
  4. Step 4: Simplify right side
    27,338.63x = 1,834,446,376.44
  5. Step 5: Solve for x
    x = 1,834,446,376.44/27,338.63
  6. Step 6: Final answer
    x = 67,100.90

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.