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Finding the Third Proportional to 29,423.06 and 65,384.44

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Solution

The third proportional to 29,423.06 and 65,384.44 is: 145,298.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,423.06 : 65,384.44 = 65,384.44 : x
  2. Step 2: Convert to fraction form
    29,423.06/65,384.44 = 65,384.44/x
  3. Step 3: Cross multiply
    29,423.06x = 65,384.44 × 65,384.44
  4. Step 4: Simplify right side
    29,423.06x = 4,275,124,667.19
  5. Step 5: Solve for x
    x = 4,275,124,667.19/29,423.06
  6. Step 6: Final answer
    x = 145,298.43

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.