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Finding the Third Proportional to 10,314 and 22,989

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Solution

The third proportional to 10,314 and 22,989 is: 51,240.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,314 : 22,989 = 22,989 : x
  2. Step 2: Convert to fraction form
    10,314/22,989 = 22,989/x
  3. Step 3: Cross multiply
    10,314x = 22,989 × 22,989
  4. Step 4: Simplify right side
    10,314x = 528,494,121
  5. Step 5: Solve for x
    x = 528,494,121/10,314
  6. Step 6: Final answer
    x = 51,240.46

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.