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Finding the Third Proportional to 29,757 and 39,492

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Solution

The third proportional to 29,757 and 39,492 is: 52,411.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,757 : 39,492 = 39,492 : x
  2. Step 2: Convert to fraction form
    29,757/39,492 = 39,492/x
  3. Step 3: Cross multiply
    29,757x = 39,492 × 39,492
  4. Step 4: Simplify right side
    29,757x = 1,559,618,064
  5. Step 5: Solve for x
    x = 1,559,618,064/29,757
  6. Step 6: Final answer
    x = 52,411.80

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.