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Finding the Third Proportional to 27,509.63 and 36,748.69

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Solution

The third proportional to 27,509.63 and 36,748.69 is: 49,090.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,509.63 : 36,748.69 = 36,748.69 : x
  2. Step 2: Convert to fraction form
    27,509.63/36,748.69 = 36,748.69/x
  3. Step 3: Cross multiply
    27,509.63x = 36,748.69 × 36,748.69
  4. Step 4: Simplify right side
    27,509.63x = 1,350,466,032.97
  5. Step 5: Solve for x
    x = 1,350,466,032.97/27,509.63
  6. Step 6: Final answer
    x = 49,090.67

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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.