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Finding the Third Proportional to 14,002.88 and 19,929.38

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Solution

The third proportional to 14,002.88 and 19,929.38 is: 28,364.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,002.88 : 19,929.38 = 19,929.38 : x
  2. Step 2: Convert to fraction form
    14,002.88/19,929.38 = 19,929.38/x
  3. Step 3: Cross multiply
    14,002.88x = 19,929.38 × 19,929.38
  4. Step 4: Simplify right side
    14,002.88x = 397,179,987.89
  5. Step 5: Solve for x
    x = 397,179,987.89/14,002.88
  6. Step 6: Final answer
    x = 28,364.17

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.