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Finding the Third Proportional to 14,509.13 and 31,174.88

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Solution

The third proportional to 14,509.13 and 31,174.88 is: 66,983.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,509.13 : 31,174.88 = 31,174.88 : x
  2. Step 2: Convert to fraction form
    14,509.13/31,174.88 = 31,174.88/x
  3. Step 3: Cross multiply
    14,509.13x = 31,174.88 × 31,174.88
  4. Step 4: Simplify right side
    14,509.13x = 971,872,831.27
  5. Step 5: Solve for x
    x = 971,872,831.27/14,509.13
  6. Step 6: Final answer
    x = 66,983.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.