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Finding the Third Proportional to 39,819.09 and 85,541.06

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Solution

The third proportional to 39,819.09 and 85,541.06 is: 183,762.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,819.09 : 85,541.06 = 85,541.06 : x
  2. Step 2: Convert to fraction form
    39,819.09/85,541.06 = 85,541.06/x
  3. Step 3: Cross multiply
    39,819.09x = 85,541.06 × 85,541.06
  4. Step 4: Simplify right side
    39,819.09x = 7,317,273,373.63
  5. Step 5: Solve for x
    x = 7,317,273,373.63/39,819.09
  6. Step 6: Final answer
    x = 183,762.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.