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Finding the Third Proportional to 27,428.63 and 36,700.59

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Solution

The third proportional to 27,428.63 and 36,700.59 is: 49,106.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,428.63 : 36,700.59 = 36,700.59 : x
  2. Step 2: Convert to fraction form
    27,428.63/36,700.59 = 36,700.59/x
  3. Step 3: Cross multiply
    27,428.63x = 36,700.59 × 36,700.59
  4. Step 4: Simplify right side
    27,428.63x = 1,346,933,581.60
  5. Step 5: Solve for x
    x = 1,346,933,581.60/27,428.63
  6. Step 6: Final answer
    x = 49,106.86

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.