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Finding the Third Proportional to 10,459.97 and 14,972.34

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Solution

The third proportional to 10,459.97 and 14,972.34 is: 21,431.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,459.97 : 14,972.34 = 14,972.34 : x
  2. Step 2: Convert to fraction form
    10,459.97/14,972.34 = 14,972.34/x
  3. Step 3: Cross multiply
    10,459.97x = 14,972.34 × 14,972.34
  4. Step 4: Simplify right side
    10,459.97x = 224,171,077.37
  5. Step 5: Solve for x
    x = 224,171,077.37/10,459.97
  6. Step 6: Final answer
    x = 21,431.33

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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.