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Finding the Third Proportional to 14,563.50 and 31,034.25

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Solution

The third proportional to 14,563.50 and 31,034.25 is: 66,132.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,563.50 : 31,034.25 = 31,034.25 : x
  2. Step 2: Convert to fraction form
    14,563.50/31,034.25 = 31,034.25/x
  3. Step 3: Cross multiply
    14,563.50x = 31,034.25 × 31,034.25
  4. Step 4: Simplify right side
    14,563.50x = 963,124,673.06
  5. Step 5: Solve for x
    x = 963,124,673.06/14,563.50
  6. Step 6: Final answer
    x = 66,132.78

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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.