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Finding the Third Proportional to 10,396.50 and 22,569.75

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Solution

The third proportional to 10,396.50 and 22,569.75 is: 48,996.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,396.50 : 22,569.75 = 22,569.75 : x
  2. Step 2: Convert to fraction form
    10,396.50/22,569.75 = 22,569.75/x
  3. Step 3: Cross multiply
    10,396.50x = 22,569.75 × 22,569.75
  4. Step 4: Simplify right side
    10,396.50x = 509,393,615.06
  5. Step 5: Solve for x
    x = 509,393,615.06/10,396.50
  6. Step 6: Final answer
    x = 48,996.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.