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Finding the Third Proportional to 30,007.50 and 38,767.50

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Solution

The third proportional to 30,007.50 and 38,767.50 is: 50,084.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,007.50 : 38,767.50 = 38,767.50 : x
  2. Step 2: Convert to fraction form
    30,007.50/38,767.50 = 38,767.50/x
  3. Step 3: Cross multiply
    30,007.50x = 38,767.50 × 38,767.50
  4. Step 4: Simplify right side
    30,007.50x = 1,502,919,056.25
  5. Step 5: Solve for x
    x = 1,502,919,056.25/30,007.50
  6. Step 6: Final answer
    x = 50,084.78

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.