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Finding the Third Proportional to 14,509.13 and 30,764.81

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Solution

The third proportional to 14,509.13 and 30,764.81 is: 65,233.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,509.13 : 30,764.81 = 30,764.81 : x
  2. Step 2: Convert to fraction form
    14,509.13/30,764.81 = 30,764.81/x
  3. Step 3: Cross multiply
    14,509.13x = 30,764.81 × 30,764.81
  4. Step 4: Simplify right side
    14,509.13x = 946,473,688.16
  5. Step 5: Solve for x
    x = 946,473,688.16/14,509.13
  6. Step 6: Final answer
    x = 65,233.00

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.