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Finding the Third Proportional to 6,931.13 and 14,783.63

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Solution

The third proportional to 6,931.13 and 14,783.63 is: 31,532.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,931.13 : 14,783.63 = 14,783.63 : x
  2. Step 2: Convert to fraction form
    6,931.13/14,783.63 = 14,783.63/x
  3. Step 3: Cross multiply
    6,931.13x = 14,783.63 × 14,783.63
  4. Step 4: Simplify right side
    6,931.13x = 218,555,568.14
  5. Step 5: Solve for x
    x = 218,555,568.14/6,931.13
  6. Step 6: Final answer
    x = 31,532.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.