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Finding the Third Proportional to 38,304 and 79,260.50

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Solution

The third proportional to 38,304 and 79,260.50 is: 164,009.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,304 : 79,260.50 = 79,260.50 : x
  2. Step 2: Convert to fraction form
    38,304/79,260.50 = 79,260.50/x
  3. Step 3: Cross multiply
    38,304x = 79,260.50 × 79,260.50
  4. Step 4: Simplify right side
    38,304x = 6,282,226,860.25
  5. Step 5: Solve for x
    x = 6,282,226,860.25/38,304
  6. Step 6: Final answer
    x = 164,009.68

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.