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Finding the Third Proportional to 29,423.25 and 64,314

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Solution

The third proportional to 29,423.25 and 64,314 is: 140,578.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,423.25 : 64,314 = 64,314 : x
  2. Step 2: Convert to fraction form
    29,423.25/64,314 = 64,314/x
  3. Step 3: Cross multiply
    29,423.25x = 64,314 × 64,314
  4. Step 4: Simplify right side
    29,423.25x = 4,136,290,596
  5. Step 5: Solve for x
    x = 4,136,290,596/29,423.25
  6. Step 6: Final answer
    x = 140,578.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.