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Finding the Third Proportional to 10,303 and 14,475

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Solution

The third proportional to 10,303 and 14,475 is: 20,336.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,303 : 14,475 = 14,475 : x
  2. Step 2: Convert to fraction form
    10,303/14,475 = 14,475/x
  3. Step 3: Cross multiply
    10,303x = 14,475 × 14,475
  4. Step 4: Simplify right side
    10,303x = 209,525,625
  5. Step 5: Solve for x
    x = 209,525,625/10,303
  6. Step 6: Final answer
    x = 20,336.37

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.