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Finding the Third Proportional to 12,955.88 and 19,809.38

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Solution

The third proportional to 12,955.88 and 19,809.38 is: 30,288.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,955.88 : 19,809.38 = 19,809.38 : x
  2. Step 2: Convert to fraction form
    12,955.88/19,809.38 = 19,809.38/x
  3. Step 3: Cross multiply
    12,955.88x = 19,809.38 × 19,809.38
  4. Step 4: Simplify right side
    12,955.88x = 392,411,337.89
  5. Step 5: Solve for x
    x = 392,411,337.89/12,955.88
  6. Step 6: Final answer
    x = 30,288.29

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.