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Finding the Third Proportional to 6,875.72 and 14,983.31

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Solution

The third proportional to 6,875.72 and 14,983.31 is: 32,651.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,875.72 : 14,983.31 = 14,983.31 : x
  2. Step 2: Convert to fraction form
    6,875.72/14,983.31 = 14,983.31/x
  3. Step 3: Cross multiply
    6,875.72x = 14,983.31 × 14,983.31
  4. Step 4: Simplify right side
    6,875.72x = 224,499,653.47
  5. Step 5: Solve for x
    x = 224,499,653.47/6,875.72
  6. Step 6: Final answer
    x = 32,651.08

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.