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Finding the Third Proportional to 12,506.91 and 19,996.88

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Solution

The third proportional to 12,506.91 and 19,996.88 is: 31,972.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,506.91 : 19,996.88 = 19,996.88 : x
  2. Step 2: Convert to fraction form
    12,506.91/19,996.88 = 19,996.88/x
  3. Step 3: Cross multiply
    12,506.91x = 19,996.88 × 19,996.88
  4. Step 4: Simplify right side
    12,506.91x = 399,875,009.77
  5. Step 5: Solve for x
    x = 399,875,009.77/12,506.91
  6. Step 6: Final answer
    x = 31,972.34

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.