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Finding the Third Proportional to 27,023.63 and 39,522.94

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Solution

The third proportional to 27,023.63 and 39,522.94 is: 57,803.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,023.63 : 39,522.94 = 39,522.94 : x
  2. Step 2: Convert to fraction form
    27,023.63/39,522.94 = 39,522.94/x
  3. Step 3: Cross multiply
    27,023.63x = 39,522.94 × 39,522.94
  4. Step 4: Simplify right side
    27,023.63x = 1,562,062,588.63
  5. Step 5: Solve for x
    x = 1,562,062,588.63/27,023.63
  6. Step 6: Final answer
    x = 57,803.59

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.