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Finding the Third Proportional to 16,423.50 and 35,307.38

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Solution

The third proportional to 16,423.50 and 35,307.38 is: 75,904.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,423.50 : 35,307.38 = 35,307.38 : x
  2. Step 2: Convert to fraction form
    16,423.50/35,307.38 = 35,307.38/x
  3. Step 3: Cross multiply
    16,423.50x = 35,307.38 × 35,307.38
  4. Step 4: Simplify right side
    16,423.50x = 1,246,610,729.39
  5. Step 5: Solve for x
    x = 1,246,610,729.39/16,423.50
  6. Step 6: Final answer
    x = 75,904.08

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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.