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Finding the Third Proportional to 15,813 and 36,535.50

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Solution

The third proportional to 15,813 and 36,535.50 is: 84,414.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,813 : 36,535.50 = 36,535.50 : x
  2. Step 2: Convert to fraction form
    15,813/36,535.50 = 36,535.50/x
  3. Step 3: Cross multiply
    15,813x = 36,535.50 × 36,535.50
  4. Step 4: Simplify right side
    15,813x = 1,334,842,760.25
  5. Step 5: Solve for x
    x = 1,334,842,760.25/15,813
  6. Step 6: Final answer
    x = 84,414.26

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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.