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Finding the Third Proportional to 29,809.27 and 65,044.27

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Solution

The third proportional to 29,809.27 and 65,044.27 is: 141,927.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,809.27 : 65,044.27 = 65,044.27 : x
  2. Step 2: Convert to fraction form
    29,809.27/65,044.27 = 65,044.27/x
  3. Step 3: Cross multiply
    29,809.27x = 65,044.27 × 65,044.27
  4. Step 4: Simplify right side
    29,809.27x = 4,230,756,490.70
  5. Step 5: Solve for x
    x = 4,230,756,490.70/29,809.27
  6. Step 6: Final answer
    x = 141,927.57

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.