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Finding the Third Proportional to 29,354 and 39,323

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Solution

The third proportional to 29,354 and 39,323 is: 52,677.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,354 : 39,323 = 39,323 : x
  2. Step 2: Convert to fraction form
    29,354/39,323 = 39,323/x
  3. Step 3: Cross multiply
    29,354x = 39,323 × 39,323
  4. Step 4: Simplify right side
    29,354x = 1,546,298,329
  5. Step 5: Solve for x
    x = 1,546,298,329/29,354
  6. Step 6: Final answer
    x = 52,677.60

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.