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Finding the Third Proportional to 25,317 and 33,475.50

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Solution

The third proportional to 25,317 and 33,475.50 is: 44,263.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,317 : 33,475.50 = 33,475.50 : x
  2. Step 2: Convert to fraction form
    25,317/33,475.50 = 33,475.50/x
  3. Step 3: Cross multiply
    25,317x = 33,475.50 × 33,475.50
  4. Step 4: Simplify right side
    25,317x = 1,120,609,100.25
  5. Step 5: Solve for x
    x = 1,120,609,100.25/25,317
  6. Step 6: Final answer
    x = 44,263.11

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.