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Finding the Third Proportional to 39,445.31 and 84,423.94

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Solution

The third proportional to 39,445.31 and 84,423.94 is: 180,690.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,445.31 : 84,423.94 = 84,423.94 : x
  2. Step 2: Convert to fraction form
    39,445.31/84,423.94 = 84,423.94/x
  3. Step 3: Cross multiply
    39,445.31x = 84,423.94 × 84,423.94
  4. Step 4: Simplify right side
    39,445.31x = 7,127,401,223.00
  5. Step 5: Solve for x
    x = 7,127,401,223.00/39,445.31
  6. Step 6: Final answer
    x = 180,690.70

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.