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Finding the Third Proportional to 14,617.13 and 31,574.81

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Solution

The third proportional to 14,617.13 and 31,574.81 is: 68,205.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,617.13 : 31,574.81 = 31,574.81 : x
  2. Step 2: Convert to fraction form
    14,617.13/31,574.81 = 31,574.81/x
  3. Step 3: Cross multiply
    14,617.13x = 31,574.81 × 31,574.81
  4. Step 4: Simplify right side
    14,617.13x = 996,968,784.41
  5. Step 5: Solve for x
    x = 996,968,784.41/14,617.13
  6. Step 6: Final answer
    x = 68,205.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.