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Finding the Third Proportional to 50,433 and 66,271.50

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Solution

The third proportional to 50,433 and 66,271.50 is: 87,084.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,433 : 66,271.50 = 66,271.50 : x
  2. Step 2: Convert to fraction form
    50,433/66,271.50 = 66,271.50/x
  3. Step 3: Cross multiply
    50,433x = 66,271.50 × 66,271.50
  4. Step 4: Simplify right side
    50,433x = 4,391,911,712.25
  5. Step 5: Solve for x
    x = 4,391,911,712.25/50,433
  6. Step 6: Final answer
    x = 87,084.09

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.