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Finding the Third Proportional to 14,002.88 and 30,359.81

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Solution

The third proportional to 14,002.88 and 30,359.81 is: 65,823.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,002.88 : 30,359.81 = 30,359.81 : x
  2. Step 2: Convert to fraction form
    14,002.88/30,359.81 = 30,359.81/x
  3. Step 3: Cross multiply
    14,002.88x = 30,359.81 × 30,359.81
  4. Step 4: Simplify right side
    14,002.88x = 921,718,215.04
  5. Step 5: Solve for x
    x = 921,718,215.04/14,002.88
  6. Step 6: Final answer
    x = 65,823.50

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.