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Finding the Third Proportional to 6,947.16 and 14,987.81

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Solution

The third proportional to 6,947.16 and 14,987.81 is: 32,334.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,947.16 : 14,987.81 = 14,987.81 : x
  2. Step 2: Convert to fraction form
    6,947.16/14,987.81 = 14,987.81/x
  3. Step 3: Cross multiply
    6,947.16x = 14,987.81 × 14,987.81
  4. Step 4: Simplify right side
    6,947.16x = 224,634,523.54
  5. Step 5: Solve for x
    x = 224,634,523.54/6,947.16
  6. Step 6: Final answer
    x = 32,334.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.