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Finding the Third Proportional to 16,831.13 and 24,512.63

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Solution

The third proportional to 16,831.13 and 24,512.63 is: 35,699.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,831.13 : 24,512.63 = 24,512.63 : x
  2. Step 2: Convert to fraction form
    16,831.13/24,512.63 = 24,512.63/x
  3. Step 3: Cross multiply
    16,831.13x = 24,512.63 × 24,512.63
  4. Step 4: Simplify right side
    16,831.13x = 600,868,784.39
  5. Step 5: Solve for x
    x = 600,868,784.39/16,831.13
  6. Step 6: Final answer
    x = 35,699.86

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.