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Finding the Third Proportional to 29,828.25 and 64,329

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Solution

The third proportional to 29,828.25 and 64,329 is: 138,734.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,828.25 : 64,329 = 64,329 : x
  2. Step 2: Convert to fraction form
    29,828.25/64,329 = 64,329/x
  3. Step 3: Cross multiply
    29,828.25x = 64,329 × 64,329
  4. Step 4: Simplify right side
    29,828.25x = 4,138,220,241
  5. Step 5: Solve for x
    x = 4,138,220,241/29,828.25
  6. Step 6: Final answer
    x = 138,734.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.