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Finding the Third Proportional to 15,068.25 and 31,513.50

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Solution

The third proportional to 15,068.25 and 31,513.50 is: 65,906.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,068.25 : 31,513.50 = 31,513.50 : x
  2. Step 2: Convert to fraction form
    15,068.25/31,513.50 = 31,513.50/x
  3. Step 3: Cross multiply
    15,068.25x = 31,513.50 × 31,513.50
  4. Step 4: Simplify right side
    15,068.25x = 993,100,682.25
  5. Step 5: Solve for x
    x = 993,100,682.25/15,068.25
  6. Step 6: Final answer
    x = 65,906.84

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.