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Finding the Third Proportional to 34,275 and 79,423.50

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Solution

The third proportional to 34,275 and 79,423.50 is: 184,043.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,275 : 79,423.50 = 79,423.50 : x
  2. Step 2: Convert to fraction form
    34,275/79,423.50 = 79,423.50/x
  3. Step 3: Cross multiply
    34,275x = 79,423.50 × 79,423.50
  4. Step 4: Simplify right side
    34,275x = 6,308,092,352.25
  5. Step 5: Solve for x
    x = 6,308,092,352.25/34,275
  6. Step 6: Final answer
    x = 184,043.54

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.