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Finding the Third Proportional to 29,406 and 64,323

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Solution

The third proportional to 29,406 and 64,323 is: 140,700.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,406 : 64,323 = 64,323 : x
  2. Step 2: Convert to fraction form
    29,406/64,323 = 64,323/x
  3. Step 3: Cross multiply
    29,406x = 64,323 × 64,323
  4. Step 4: Simplify right side
    29,406x = 4,137,448,329
  5. Step 5: Solve for x
    x = 4,137,448,329/29,406
  6. Step 6: Final answer
    x = 140,700.82

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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.