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Finding the Third Proportional to 29,385 and 69,309

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Solution

The third proportional to 29,385 and 69,309 is: 163,475.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,385 : 69,309 = 69,309 : x
  2. Step 2: Convert to fraction form
    29,385/69,309 = 69,309/x
  3. Step 3: Cross multiply
    29,385x = 69,309 × 69,309
  4. Step 4: Simplify right side
    29,385x = 4,803,737,481
  5. Step 5: Solve for x
    x = 4,803,737,481/29,385
  6. Step 6: Final answer
    x = 163,475.84

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.