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Finding the Third Proportional to 6,813 and 15,709.50

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Solution

The third proportional to 6,813 and 15,709.50 is: 36,223.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,813 : 15,709.50 = 15,709.50 : x
  2. Step 2: Convert to fraction form
    6,813/15,709.50 = 15,709.50/x
  3. Step 3: Cross multiply
    6,813x = 15,709.50 × 15,709.50
  4. Step 4: Simplify right side
    6,813x = 246,788,390.25
  5. Step 5: Solve for x
    x = 246,788,390.25/6,813
  6. Step 6: Final answer
    x = 36,223.16

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.