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Finding the Third Proportional to 6,872.63 and 14,632.88

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Solution

The third proportional to 6,872.63 and 14,632.88 is: 31,155.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,872.63 : 14,632.88 = 14,632.88 : x
  2. Step 2: Convert to fraction form
    6,872.63/14,632.88 = 14,632.88/x
  3. Step 3: Cross multiply
    6,872.63x = 14,632.88 × 14,632.88
  4. Step 4: Simplify right side
    6,872.63x = 214,121,030.77
  5. Step 5: Solve for x
    x = 214,121,030.77/6,872.63
  6. Step 6: Final answer
    x = 31,155.64

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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.