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Finding the Third Proportional to 14,392.13 and 30,971.63

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Solution

The third proportional to 14,392.13 and 30,971.63 is: 66,650.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,392.13 : 30,971.63 = 30,971.63 : x
  2. Step 2: Convert to fraction form
    14,392.13/30,971.63 = 30,971.63/x
  3. Step 3: Cross multiply
    14,392.13x = 30,971.63 × 30,971.63
  4. Step 4: Simplify right side
    14,392.13x = 959,241,555.14
  5. Step 5: Solve for x
    x = 959,241,555.14/14,392.13
  6. Step 6: Final answer
    x = 66,650.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.