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Finding the Third Proportional to 32,405 and 69,304

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Solution

The third proportional to 32,405 and 69,304 is: 148,219.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,405 : 69,304 = 69,304 : x
  2. Step 2: Convert to fraction form
    32,405/69,304 = 69,304/x
  3. Step 3: Cross multiply
    32,405x = 69,304 × 69,304
  4. Step 4: Simplify right side
    32,405x = 4,803,044,416
  5. Step 5: Solve for x
    x = 4,803,044,416/32,405
  6. Step 6: Final answer
    x = 148,219.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.