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Finding the Third Proportional to 16,353.75 and 23,946.38

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Solution

The third proportional to 16,353.75 and 23,946.38 is: 35,064.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,353.75 : 23,946.38 = 23,946.38 : x
  2. Step 2: Convert to fraction form
    16,353.75/23,946.38 = 23,946.38/x
  3. Step 3: Cross multiply
    16,353.75x = 23,946.38 × 23,946.38
  4. Step 4: Simplify right side
    16,353.75x = 573,428,875.64
  5. Step 5: Solve for x
    x = 573,428,875.64/16,353.75
  6. Step 6: Final answer
    x = 35,064.06

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Why These Related Problems?

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