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Finding the Third Proportional to 10,317 and 14,593.50

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Solution

The third proportional to 10,317 and 14,593.50 is: 20,642.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,317 : 14,593.50 = 14,593.50 : x
  2. Step 2: Convert to fraction form
    10,317/14,593.50 = 14,593.50/x
  3. Step 3: Cross multiply
    10,317x = 14,593.50 × 14,593.50
  4. Step 4: Simplify right side
    10,317x = 212,970,242.25
  5. Step 5: Solve for x
    x = 212,970,242.25/10,317
  6. Step 6: Final answer
    x = 20,642.65

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.