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Finding the Third Proportional to 14,900.75 and 33,971.75

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Solution

The third proportional to 14,900.75 and 33,971.75 is: 77,451.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,900.75 : 33,971.75 = 33,971.75 : x
  2. Step 2: Convert to fraction form
    14,900.75/33,971.75 = 33,971.75/x
  3. Step 3: Cross multiply
    14,900.75x = 33,971.75 × 33,971.75
  4. Step 4: Simplify right side
    14,900.75x = 1,154,079,798.06
  5. Step 5: Solve for x
    x = 1,154,079,798.06/14,900.75
  6. Step 6: Final answer
    x = 77,451.12

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.