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Finding the Third Proportional to 7,423 and 16,305.50

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Solution

The third proportional to 7,423 and 16,305.50 is: 35,816.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,423 : 16,305.50 = 16,305.50 : x
  2. Step 2: Convert to fraction form
    7,423/16,305.50 = 16,305.50/x
  3. Step 3: Cross multiply
    7,423x = 16,305.50 × 16,305.50
  4. Step 4: Simplify right side
    7,423x = 265,869,330.25
  5. Step 5: Solve for x
    x = 265,869,330.25/7,423
  6. Step 6: Final answer
    x = 35,816.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.