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Finding the Third Proportional to 10,396.69 and 14,865.19

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Solution

The third proportional to 10,396.69 and 14,865.19 is: 21,254.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,396.69 : 14,865.19 = 14,865.19 : x
  2. Step 2: Convert to fraction form
    10,396.69/14,865.19 = 14,865.19/x
  3. Step 3: Cross multiply
    10,396.69x = 14,865.19 × 14,865.19
  4. Step 4: Simplify right side
    10,396.69x = 220,973,799.41
  5. Step 5: Solve for x
    x = 220,973,799.41/10,396.69
  6. Step 6: Final answer
    x = 21,254.25

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.