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Finding the Third Proportional to 32,564 and 69,344

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Solution

The third proportional to 32,564 and 69,344 is: 147,665.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,564 : 69,344 = 69,344 : x
  2. Step 2: Convert to fraction form
    32,564/69,344 = 69,344/x
  3. Step 3: Cross multiply
    32,564x = 69,344 × 69,344
  4. Step 4: Simplify right side
    32,564x = 4,808,590,336
  5. Step 5: Solve for x
    x = 4,808,590,336/32,564
  6. Step 6: Final answer
    x = 147,665.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.